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Finding the Fourth Proportional to 6,587.64, 9,882.12 and 2,428.74

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Solution

The fourth proportional to 6,587.64, 9,882.12 and 2,428.74 is: 3,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.64 : 9,882.12 = 2,428.74 : x
  2. Step 2: Convert to fraction form
    6,587.64/9,882.12 = 2,428.74/x
  3. Step 3: Cross multiply
    6,587.64x = 9,882.12 × 2,428.74
  4. Step 4: Simplify right side
    6,587.64x = 24,001,100.13
  5. Step 5: Solve for x
    x = 24,001,100.13/6,587.64
  6. Step 6: Final answer
    x = 3,643.35

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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.