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Finding the Fourth Proportional to 10,451.61, 15,678.32 and 3,429.52

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Solution

The fourth proportional to 10,451.61, 15,678.32 and 3,429.52 is: 5,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.61 : 15,678.32 = 3,429.52 : x
  2. Step 2: Convert to fraction form
    10,451.61/15,678.32 = 3,429.52/x
  3. Step 3: Cross multiply
    10,451.61x = 15,678.32 × 3,429.52
  4. Step 4: Simplify right side
    10,451.61x = 53,769,112.01
  5. Step 5: Solve for x
    x = 53,769,112.01/10,451.61
  6. Step 6: Final answer
    x = 5,144.58

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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.