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Finding the Fourth Proportional to 7,487.64, 11,209.70 and 4,358.10

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Solution

The fourth proportional to 7,487.64, 11,209.70 and 4,358.10 is: 6,524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487.64 : 11,209.70 = 4,358.10 : x
  2. Step 2: Convert to fraction form
    7,487.64/11,209.70 = 4,358.10/x
  3. Step 3: Cross multiply
    7,487.64x = 11,209.70 × 4,358.10
  4. Step 4: Simplify right side
    7,487.64x = 48,852,993.57
  5. Step 5: Solve for x
    x = 48,852,993.57/7,487.64
  6. Step 6: Final answer
    x = 6,524.48

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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.