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Finding the Fourth Proportional to 7,702.32, 11,497.76 and 6,768.15

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Solution

The fourth proportional to 7,702.32, 11,497.76 and 6,768.15 is: 10,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.32 : 11,497.76 = 6,768.15 : x
  2. Step 2: Convert to fraction form
    7,702.32/11,497.76 = 6,768.15/x
  3. Step 3: Cross multiply
    7,702.32x = 11,497.76 × 6,768.15
  4. Step 4: Simplify right side
    7,702.32x = 77,818,581.26
  5. Step 5: Solve for x
    x = 77,818,581.26/7,702.32
  6. Step 6: Final answer
    x = 10,103.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.