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Finding the Fourth Proportional to 7,383.26, 10,182.03 and 5,702.15

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Solution

The fourth proportional to 7,383.26, 10,182.03 and 5,702.15 is: 7,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383.26 : 10,182.03 = 5,702.15 : x
  2. Step 2: Convert to fraction form
    7,383.26/10,182.03 = 5,702.15/x
  3. Step 3: Cross multiply
    7,383.26x = 10,182.03 × 5,702.15
  4. Step 4: Simplify right side
    7,383.26x = 58,059,462.36
  5. Step 5: Solve for x
    x = 58,059,462.36/7,383.26
  6. Step 6: Final answer
    x = 7,863.66

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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.