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Finding the Fourth Proportional to 10,557.40, 15,841.56 and 7,659.62

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Solution

The fourth proportional to 10,557.40, 15,841.56 and 7,659.62 is: 11,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.40 : 15,841.56 = 7,659.62 : x
  2. Step 2: Convert to fraction form
    10,557.40/15,841.56 = 7,659.62/x
  3. Step 3: Cross multiply
    10,557.40x = 15,841.56 × 7,659.62
  4. Step 4: Simplify right side
    10,557.40x = 121,340,329.81
  5. Step 5: Solve for x
    x = 121,340,329.81/10,557.40
  6. Step 6: Final answer
    x = 11,493.40

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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.