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Finding the Fourth Proportional to 7,582.39, 11,366.65 and 6,419.88

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Solution

The fourth proportional to 7,582.39, 11,366.65 and 6,419.88 is: 9,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.39 : 11,366.65 = 6,419.88 : x
  2. Step 2: Convert to fraction form
    7,582.39/11,366.65 = 6,419.88/x
  3. Step 3: Cross multiply
    7,582.39x = 11,366.65 × 6,419.88
  4. Step 4: Simplify right side
    7,582.39x = 72,972,529.00
  5. Step 5: Solve for x
    x = 72,972,529.00/7,582.39
  6. Step 6: Final answer
    x = 9,623.95

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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.