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Finding the Fourth Proportional to 10,499.32, 15,710.10 and 7,728.04

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Solution

The fourth proportional to 10,499.32, 15,710.10 and 7,728.04 is: 11,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.32 : 15,710.10 = 7,728.04 : x
  2. Step 2: Convert to fraction form
    10,499.32/15,710.10 = 7,728.04/x
  3. Step 3: Cross multiply
    10,499.32x = 15,710.10 × 7,728.04
  4. Step 4: Simplify right side
    10,499.32x = 121,408,281.20
  5. Step 5: Solve for x
    x = 121,408,281.20/10,499.32
  6. Step 6: Final answer
    x = 11,563.44

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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.