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Finding the Fourth Proportional to 6,702.39, 10,051.17 and 2,259.10

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Solution

The fourth proportional to 6,702.39, 10,051.17 and 2,259.10 is: 3,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.39 : 10,051.17 = 2,259.10 : x
  2. Step 2: Convert to fraction form
    6,702.39/10,051.17 = 2,259.10/x
  3. Step 3: Cross multiply
    6,702.39x = 10,051.17 × 2,259.10
  4. Step 4: Simplify right side
    6,702.39x = 22,706,598.15
  5. Step 5: Solve for x
    x = 22,706,598.15/6,702.39
  6. Step 6: Final answer
    x = 3,387.84

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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.