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Finding the Fourth Proportional to 6,513.60, 9,751.44 and 5,113.92

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Solution

The fourth proportional to 6,513.60, 9,751.44 and 5,113.92 is: 7,655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.60 : 9,751.44 = 5,113.92 : x
  2. Step 2: Convert to fraction form
    6,513.60/9,751.44 = 5,113.92/x
  3. Step 3: Cross multiply
    6,513.60x = 9,751.44 × 5,113.92
  4. Step 4: Simplify right side
    6,513.60x = 49,868,084.04
  5. Step 5: Solve for x
    x = 49,868,084.04/6,513.60
  6. Step 6: Final answer
    x = 7,655.99

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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.