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Finding the Fourth Proportional to 8,239.64, 11,370.29 and 4,702.16

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Solution

The fourth proportional to 8,239.64, 11,370.29 and 4,702.16 is: 6,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.64 : 11,370.29 = 4,702.16 : x
  2. Step 2: Convert to fraction form
    8,239.64/11,370.29 = 4,702.16/x
  3. Step 3: Cross multiply
    8,239.64x = 11,370.29 × 4,702.16
  4. Step 4: Simplify right side
    8,239.64x = 53,464,842.46
  5. Step 5: Solve for x
    x = 53,464,842.46/8,239.64
  6. Step 6: Final answer
    x = 6,488.74

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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.