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Finding the Fourth Proportional to 10,429.59, 15,633.45 and 8,767.47

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Solution

The fourth proportional to 10,429.59, 15,633.45 and 8,767.47 is: 13,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.59 : 15,633.45 = 8,767.47 : x
  2. Step 2: Convert to fraction form
    10,429.59/15,633.45 = 8,767.47/x
  3. Step 3: Cross multiply
    10,429.59x = 15,633.45 × 8,767.47
  4. Step 4: Simplify right side
    10,429.59x = 137,065,803.87
  5. Step 5: Solve for x
    x = 137,065,803.87/10,429.59
  6. Step 6: Final answer
    x = 13,142.01

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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.