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Finding the Fourth Proportional to 10,882.76, 16,345.74 and 9,322.16

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Solution

The fourth proportional to 10,882.76, 16,345.74 and 9,322.16 is: 14,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.76 : 16,345.74 = 9,322.16 : x
  2. Step 2: Convert to fraction form
    10,882.76/16,345.74 = 9,322.16/x
  3. Step 3: Cross multiply
    10,882.76x = 16,345.74 × 9,322.16
  4. Step 4: Simplify right side
    10,882.76x = 152,377,603.60
  5. Step 5: Solve for x
    x = 152,377,603.60/10,882.76
  6. Step 6: Final answer
    x = 14,001.74

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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.