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Finding the Fourth Proportional to 8,602.34, 11,870.46 and 5,244.49

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Solution

The fourth proportional to 8,602.34, 11,870.46 and 5,244.49 is: 7,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.34 : 11,870.46 = 5,244.49 : x
  2. Step 2: Convert to fraction form
    8,602.34/11,870.46 = 5,244.49/x
  3. Step 3: Cross multiply
    8,602.34x = 11,870.46 × 5,244.49
  4. Step 4: Simplify right side
    8,602.34x = 62,254,433.11
  5. Step 5: Solve for x
    x = 62,254,433.11/8,602.34
  6. Step 6: Final answer
    x = 7,236.92

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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.