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Finding the Fourth Proportional to 7,133.48, 10,702.04 and 2,972.08

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Solution

The fourth proportional to 7,133.48, 10,702.04 and 2,972.08 is: 4,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.48 : 10,702.04 = 2,972.08 : x
  2. Step 2: Convert to fraction form
    7,133.48/10,702.04 = 2,972.08/x
  3. Step 3: Cross multiply
    7,133.48x = 10,702.04 × 2,972.08
  4. Step 4: Simplify right side
    7,133.48x = 31,807,319.04
  5. Step 5: Solve for x
    x = 31,807,319.04/7,133.48
  6. Step 6: Final answer
    x = 4,458.88

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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.