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Finding the Fourth Proportional to 7,133.52, 10,702.14 and 2,972.15

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Solution

The fourth proportional to 7,133.52, 10,702.14 and 2,972.15 is: 4,459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.52 : 10,702.14 = 2,972.15 : x
  2. Step 2: Convert to fraction form
    7,133.52/10,702.14 = 2,972.15/x
  3. Step 3: Cross multiply
    7,133.52x = 10,702.14 × 2,972.15
  4. Step 4: Simplify right side
    7,133.52x = 31,808,365.40
  5. Step 5: Solve for x
    x = 31,808,365.40/7,133.52
  6. Step 6: Final answer
    x = 4,459.00

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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.