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Finding the Fourth Proportional to 11,395.29, 15,717.74 and 9,900.57

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Solution

The fourth proportional to 11,395.29, 15,717.74 and 9,900.57 is: 13,656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395.29 : 15,717.74 = 9,900.57 : x
  2. Step 2: Convert to fraction form
    11,395.29/15,717.74 = 9,900.57/x
  3. Step 3: Cross multiply
    11,395.29x = 15,717.74 × 9,900.57
  4. Step 4: Simplify right side
    11,395.29x = 155,614,585.11
  5. Step 5: Solve for x
    x = 155,614,585.11/11,395.29
  6. Step 6: Final answer
    x = 13,656.04

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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.