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Finding the Fourth Proportional to 6,587.78, 9,881.63 and 2,689.46

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Solution

The fourth proportional to 6,587.78, 9,881.63 and 2,689.46 is: 4,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.78 : 9,881.63 = 2,689.46 : x
  2. Step 2: Convert to fraction form
    6,587.78/9,881.63 = 2,689.46/x
  3. Step 3: Cross multiply
    6,587.78x = 9,881.63 × 2,689.46
  4. Step 4: Simplify right side
    6,587.78x = 26,576,185.76
  5. Step 5: Solve for x
    x = 26,576,185.76/6,587.78
  6. Step 6: Final answer
    x = 4,034.16

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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.