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Finding the Fourth Proportional to 7,580.39, 11,363.65 and 6,417.88

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Solution

The fourth proportional to 7,580.39, 11,363.65 and 6,417.88 is: 9,620.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.39 : 11,363.65 = 6,417.88 : x
  2. Step 2: Convert to fraction form
    7,580.39/11,363.65 = 6,417.88/x
  3. Step 3: Cross multiply
    7,580.39x = 11,363.65 × 6,417.88
  4. Step 4: Simplify right side
    7,580.39x = 72,930,497.61
  5. Step 5: Solve for x
    x = 72,930,497.61/7,580.39
  6. Step 6: Final answer
    x = 9,620.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.