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Finding the Fourth Proportional to 10,358.01, 14,299.74 and 7,711.74

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Solution

The fourth proportional to 10,358.01, 14,299.74 and 7,711.74 is: 10,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.01 : 14,299.74 = 7,711.74 : x
  2. Step 2: Convert to fraction form
    10,358.01/14,299.74 = 7,711.74/x
  3. Step 3: Cross multiply
    10,358.01x = 14,299.74 × 7,711.74
  4. Step 4: Simplify right side
    10,358.01x = 110,275,876.95
  5. Step 5: Solve for x
    x = 110,275,876.95/10,358.01
  6. Step 6: Final answer
    x = 10,646.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.