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Finding the Fourth Proportional to 7,134.38, 10,698.87 and 3,435.74

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Solution

The fourth proportional to 7,134.38, 10,698.87 and 3,435.74 is: 5,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.38 : 10,698.87 = 3,435.74 : x
  2. Step 2: Convert to fraction form
    7,134.38/10,698.87 = 3,435.74/x
  3. Step 3: Cross multiply
    7,134.38x = 10,698.87 × 3,435.74
  4. Step 4: Simplify right side
    7,134.38x = 36,758,535.61
  5. Step 5: Solve for x
    x = 36,758,535.61/7,134.38
  6. Step 6: Final answer
    x = 5,152.31

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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.