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Finding the Fourth Proportional to 10,113.85, 13,957.16 and 5,637.68

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Solution

The fourth proportional to 10,113.85, 13,957.16 and 5,637.68 is: 7,780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.85 : 13,957.16 = 5,637.68 : x
  2. Step 2: Convert to fraction form
    10,113.85/13,957.16 = 5,637.68/x
  3. Step 3: Cross multiply
    10,113.85x = 13,957.16 × 5,637.68
  4. Step 4: Simplify right side
    10,113.85x = 78,685,948.61
  5. Step 5: Solve for x
    x = 78,685,948.61/10,113.85
  6. Step 6: Final answer
    x = 7,780.02

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