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Finding the Fourth Proportional to 7,217.83, 10,830.18 and 5,000.08

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Solution

The fourth proportional to 7,217.83, 10,830.18 and 5,000.08 is: 7,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.83 : 10,830.18 = 5,000.08 : x
  2. Step 2: Convert to fraction form
    7,217.83/10,830.18 = 5,000.08/x
  3. Step 3: Cross multiply
    7,217.83x = 10,830.18 × 5,000.08
  4. Step 4: Simplify right side
    7,217.83x = 54,151,766.41
  5. Step 5: Solve for x
    x = 54,151,766.41/7,217.83
  6. Step 6: Final answer
    x = 7,502.50

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Why These Related Problems?

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