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Finding the Fourth Proportional to 11,395.64, 15,727.02 and 7,147.34

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Solution

The fourth proportional to 11,395.64, 15,727.02 and 7,147.34 is: 9,863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395.64 : 15,727.02 = 7,147.34 : x
  2. Step 2: Convert to fraction form
    11,395.64/15,727.02 = 7,147.34/x
  3. Step 3: Cross multiply
    11,395.64x = 15,727.02 × 7,147.34
  4. Step 4: Simplify right side
    11,395.64x = 112,406,359.13
  5. Step 5: Solve for x
    x = 112,406,359.13/11,395.64
  6. Step 6: Final answer
    x = 9,863.98

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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.