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Finding the Fourth Proportional to 10,312.30, 15,474.12 and 4,468.96

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Solution

The fourth proportional to 10,312.30, 15,474.12 and 4,468.96 is: 6,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.30 : 15,474.12 = 4,468.96 : x
  2. Step 2: Convert to fraction form
    10,312.30/15,474.12 = 4,468.96/x
  3. Step 3: Cross multiply
    10,312.30x = 15,474.12 × 4,468.96
  4. Step 4: Simplify right side
    10,312.30x = 69,153,223.32
  5. Step 5: Solve for x
    x = 69,153,223.32/10,312.30
  6. Step 6: Final answer
    x = 6,705.90

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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.