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Finding the Fourth Proportional to 7,132.80, 10,702.20 and 4,009.02

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Solution

The fourth proportional to 7,132.80, 10,702.20 and 4,009.02 is: 6,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.80 : 10,702.20 = 4,009.02 : x
  2. Step 2: Convert to fraction form
    7,132.80/10,702.20 = 4,009.02/x
  3. Step 3: Cross multiply
    7,132.80x = 10,702.20 × 4,009.02
  4. Step 4: Simplify right side
    7,132.80x = 42,905,333.84
  5. Step 5: Solve for x
    x = 42,905,333.84/7,132.80
  6. Step 6: Final answer
    x = 6,015.22

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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.