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Finding the Fourth Proportional to 7,702.07, 11,497.39 and 6,767.89

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Solution

The fourth proportional to 7,702.07, 11,497.39 and 6,767.89 is: 10,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.07 : 11,497.39 = 6,767.89 : x
  2. Step 2: Convert to fraction form
    7,702.07/11,497.39 = 6,767.89/x
  3. Step 3: Cross multiply
    7,702.07x = 11,497.39 × 6,767.89
  4. Step 4: Simplify right side
    7,702.07x = 77,813,070.81
  5. Step 5: Solve for x
    x = 77,813,070.81/7,702.07
  6. Step 6: Final answer
    x = 10,102.88

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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.