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Finding the Fourth Proportional to 8,602.12, 12,915.80 and 5,305.60

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Solution

The fourth proportional to 8,602.12, 12,915.80 and 5,305.60 is: 7,966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.12 : 12,915.80 = 5,305.60 : x
  2. Step 2: Convert to fraction form
    8,602.12/12,915.80 = 5,305.60/x
  3. Step 3: Cross multiply
    8,602.12x = 12,915.80 × 5,305.60
  4. Step 4: Simplify right side
    8,602.12x = 68,526,068.48
  5. Step 5: Solve for x
    x = 68,526,068.48/8,602.12
  6. Step 6: Final answer
    x = 7,966.18

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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.