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Finding the Fourth Proportional to 10,419.72, 15,618.60 and 6,471

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Solution

The fourth proportional to 10,419.72, 15,618.60 and 6,471 is: 9,699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.72 : 15,618.60 = 6,471 : x
  2. Step 2: Convert to fraction form
    10,419.72/15,618.60 = 6,471/x
  3. Step 3: Cross multiply
    10,419.72x = 15,618.60 × 6,471
  4. Step 4: Simplify right side
    10,419.72x = 101,067,960.60
  5. Step 5: Solve for x
    x = 101,067,960.60/10,419.72
  6. Step 6: Final answer
    x = 9,699.68

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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.