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Finding the Fourth Proportional to 7,718.50, 11,582.48 and 3,335.86

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Solution

The fourth proportional to 7,718.50, 11,582.48 and 3,335.86 is: 5,005.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.50 : 11,582.48 = 3,335.86 : x
  2. Step 2: Convert to fraction form
    7,718.50/11,582.48 = 3,335.86/x
  3. Step 3: Cross multiply
    7,718.50x = 11,582.48 × 3,335.86
  4. Step 4: Simplify right side
    7,718.50x = 38,637,531.73
  5. Step 5: Solve for x
    x = 38,637,531.73/7,718.50
  6. Step 6: Final answer
    x = 5,005.83

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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.