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Finding the Fourth Proportional to 10,311.04, 15,468.96 and 4,468.24

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Solution

The fourth proportional to 10,311.04, 15,468.96 and 4,468.24 is: 6,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.04 : 15,468.96 = 4,468.24 : x
  2. Step 2: Convert to fraction form
    10,311.04/15,468.96 = 4,468.24/x
  3. Step 3: Cross multiply
    10,311.04x = 15,468.96 × 4,468.24
  4. Step 4: Simplify right side
    10,311.04x = 69,119,025.83
  5. Step 5: Solve for x
    x = 69,119,025.83/10,311.04
  6. Step 6: Final answer
    x = 6,703.40

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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.