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Finding the Fourth Proportional to 7,023.16, 9,702.96 and 5,350.24

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Solution

The fourth proportional to 7,023.16, 9,702.96 and 5,350.24 is: 7,391.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.16 : 9,702.96 = 5,350.24 : x
  2. Step 2: Convert to fraction form
    7,023.16/9,702.96 = 5,350.24/x
  3. Step 3: Cross multiply
    7,023.16x = 9,702.96 × 5,350.24
  4. Step 4: Simplify right side
    7,023.16x = 51,913,164.71
  5. Step 5: Solve for x
    x = 51,913,164.71/7,023.16
  6. Step 6: Final answer
    x = 7,391.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.