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Finding the Fourth Proportional to 7,005.92, 10,509.42 and 2,325.74

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Solution

The fourth proportional to 7,005.92, 10,509.42 and 2,325.74 is: 3,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.92 : 10,509.42 = 2,325.74 : x
  2. Step 2: Convert to fraction form
    7,005.92/10,509.42 = 2,325.74/x
  3. Step 3: Cross multiply
    7,005.92x = 10,509.42 × 2,325.74
  4. Step 4: Simplify right side
    7,005.92x = 24,442,178.47
  5. Step 5: Solve for x
    x = 24,442,178.47/7,005.92
  6. Step 6: Final answer
    x = 3,488.79

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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.