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Finding the Fourth Proportional to 11,332.30, 15,637.83 and 6,296.14

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Solution

The fourth proportional to 11,332.30, 15,637.83 and 6,296.14 is: 8,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.30 : 15,637.83 = 6,296.14 : x
  2. Step 2: Convert to fraction form
    11,332.30/15,637.83 = 6,296.14/x
  3. Step 3: Cross multiply
    11,332.30x = 15,637.83 × 6,296.14
  4. Step 4: Simplify right side
    11,332.30x = 98,457,966.98
  5. Step 5: Solve for x
    x = 98,457,966.98/11,332.30
  6. Step 6: Final answer
    x = 8,688.26

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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.