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Finding the Fourth Proportional to 11,294.63, 15,586.70 and 6,258.92

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Solution

The fourth proportional to 11,294.63, 15,586.70 and 6,258.92 is: 8,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.63 : 15,586.70 = 6,258.92 : x
  2. Step 2: Convert to fraction form
    11,294.63/15,586.70 = 6,258.92/x
  3. Step 3: Cross multiply
    11,294.63x = 15,586.70 × 6,258.92
  4. Step 4: Simplify right side
    11,294.63x = 97,555,962.98
  5. Step 5: Solve for x
    x = 97,555,962.98/11,294.63
  6. Step 6: Final answer
    x = 8,637.38

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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.