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Finding the Fourth Proportional to 10,574.72, 15,864.48 and 7,289.12

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Solution

The fourth proportional to 10,574.72, 15,864.48 and 7,289.12 is: 10,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.72 : 15,864.48 = 7,289.12 : x
  2. Step 2: Convert to fraction form
    10,574.72/15,864.48 = 7,289.12/x
  3. Step 3: Cross multiply
    10,574.72x = 15,864.48 × 7,289.12
  4. Step 4: Simplify right side
    10,574.72x = 115,638,098.46
  5. Step 5: Solve for x
    x = 115,638,098.46/10,574.72
  6. Step 6: Final answer
    x = 10,935.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.