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Finding the Fourth Proportional to 10,352.80, 15,507.60 and 7,752.16

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Solution

The fourth proportional to 10,352.80, 15,507.60 and 7,752.16 is: 11,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.80 : 15,507.60 = 7,752.16 : x
  2. Step 2: Convert to fraction form
    10,352.80/15,507.60 = 7,752.16/x
  3. Step 3: Cross multiply
    10,352.80x = 15,507.60 × 7,752.16
  4. Step 4: Simplify right side
    10,352.80x = 120,217,396.42
  5. Step 5: Solve for x
    x = 120,217,396.42/10,352.80
  6. Step 6: Final answer
    x = 11,612.07

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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.