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Finding the Fourth Proportional to 10,475.93, 15,707.95 and 3,454.04

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Solution

The fourth proportional to 10,475.93, 15,707.95 and 3,454.04 is: 5,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.93 : 15,707.95 = 3,454.04 : x
  2. Step 2: Convert to fraction form
    10,475.93/15,707.95 = 3,454.04/x
  3. Step 3: Cross multiply
    10,475.93x = 15,707.95 × 3,454.04
  4. Step 4: Simplify right side
    10,475.93x = 54,255,887.62
  5. Step 5: Solve for x
    x = 54,255,887.62/10,475.93
  6. Step 6: Final answer
    x = 5,179.10

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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.