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Finding the Fourth Proportional to 10,499.58, 15,700.71 and 8,132.76

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Solution

The fourth proportional to 10,499.58, 15,700.71 and 8,132.76 is: 12,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.58 : 15,700.71 = 8,132.76 : x
  2. Step 2: Convert to fraction form
    10,499.58/15,700.71 = 8,132.76/x
  3. Step 3: Cross multiply
    10,499.58x = 15,700.71 × 8,132.76
  4. Step 4: Simplify right side
    10,499.58x = 127,690,106.26
  5. Step 5: Solve for x
    x = 127,690,106.26/10,499.58
  6. Step 6: Final answer
    x = 12,161.45

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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.