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Finding the Fourth Proportional to 10,484.46, 15,711.66 and 7,889.22

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Solution

The fourth proportional to 10,484.46, 15,711.66 and 7,889.22 is: 11,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.46 : 15,711.66 = 7,889.22 : x
  2. Step 2: Convert to fraction form
    10,484.46/15,711.66 = 7,889.22/x
  3. Step 3: Cross multiply
    10,484.46x = 15,711.66 × 7,889.22
  4. Step 4: Simplify right side
    10,484.46x = 123,952,742.31
  5. Step 5: Solve for x
    x = 123,952,742.31/10,484.46
  6. Step 6: Final answer
    x = 11,822.52

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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.