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Finding the Fourth Proportional to 7,584.62, 11,417.89 and 6,821.71

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Solution

The fourth proportional to 7,584.62, 11,417.89 and 6,821.71 is: 10,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.62 : 11,417.89 = 6,821.71 : x
  2. Step 2: Convert to fraction form
    7,584.62/11,417.89 = 6,821.71/x
  3. Step 3: Cross multiply
    7,584.62x = 11,417.89 × 6,821.71
  4. Step 4: Simplify right side
    7,584.62x = 77,889,534.39
  5. Step 5: Solve for x
    x = 77,889,534.39/7,584.62
  6. Step 6: Final answer
    x = 10,269.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.