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Finding the Fourth Proportional to 11,293.84, 15,598.29 and 7,702.66

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Solution

The fourth proportional to 11,293.84, 15,598.29 and 7,702.66 is: 10,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,293.84 : 15,598.29 = 7,702.66 : x
  2. Step 2: Convert to fraction form
    11,293.84/15,598.29 = 7,702.66/x
  3. Step 3: Cross multiply
    11,293.84x = 15,598.29 × 7,702.66
  4. Step 4: Simplify right side
    11,293.84x = 120,148,324.45
  5. Step 5: Solve for x
    x = 120,148,324.45/11,293.84
  6. Step 6: Final answer
    x = 10,638.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.