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Finding the Fourth Proportional to 10,711.80, 16,055.28 and 6,332.94

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Solution

The fourth proportional to 10,711.80, 16,055.28 and 6,332.94 is: 9,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.80 : 16,055.28 = 6,332.94 : x
  2. Step 2: Convert to fraction form
    10,711.80/16,055.28 = 6,332.94/x
  3. Step 3: Cross multiply
    10,711.80x = 16,055.28 × 6,332.94
  4. Step 4: Simplify right side
    10,711.80x = 101,677,124.92
  5. Step 5: Solve for x
    x = 101,677,124.92/10,711.80
  6. Step 6: Final answer
    x = 9,492.07

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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.