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Finding the Fourth Proportional to 8,386.64, 12,580.39 and 2,146.70

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Solution

The fourth proportional to 8,386.64, 12,580.39 and 2,146.70 is: 3,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.64 : 12,580.39 = 2,146.70 : x
  2. Step 2: Convert to fraction form
    8,386.64/12,580.39 = 2,146.70/x
  3. Step 3: Cross multiply
    8,386.64x = 12,580.39 × 2,146.70
  4. Step 4: Simplify right side
    8,386.64x = 27,006,349.30
  5. Step 5: Solve for x
    x = 27,006,349.30/8,386.64
  6. Step 6: Final answer
    x = 3,220.16

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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.