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Finding the Fourth Proportional to 10,454.04, 15,672.84 and 7,157.14

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Solution

The fourth proportional to 10,454.04, 15,672.84 and 7,157.14 is: 10,730.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.04 : 15,672.84 = 7,157.14 : x
  2. Step 2: Convert to fraction form
    10,454.04/15,672.84 = 7,157.14/x
  3. Step 3: Cross multiply
    10,454.04x = 15,672.84 × 7,157.14
  4. Step 4: Simplify right side
    10,454.04x = 112,172,710.08
  5. Step 5: Solve for x
    x = 112,172,710.08/10,454.04
  6. Step 6: Final answer
    x = 10,730.08

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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.