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Finding the Fourth Proportional to 10,932.48, 16,390.08 and 7,812.72

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Solution

The fourth proportional to 10,932.48, 16,390.08 and 7,812.72 is: 11,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932.48 : 16,390.08 = 7,812.72 : x
  2. Step 2: Convert to fraction form
    10,932.48/16,390.08 = 7,812.72/x
  3. Step 3: Cross multiply
    10,932.48x = 16,390.08 × 7,812.72
  4. Step 4: Simplify right side
    10,932.48x = 128,051,105.82
  5. Step 5: Solve for x
    x = 128,051,105.82/10,932.48
  6. Step 6: Final answer
    x = 11,712.91

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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.