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Finding the Fourth Proportional to 7,317.50, 10,098.15 and 4,005.50

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Solution

The fourth proportional to 7,317.50, 10,098.15 and 4,005.50 is: 5,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317.50 : 10,098.15 = 4,005.50 : x
  2. Step 2: Convert to fraction form
    7,317.50/10,098.15 = 4,005.50/x
  3. Step 3: Cross multiply
    7,317.50x = 10,098.15 × 4,005.50
  4. Step 4: Simplify right side
    7,317.50x = 40,448,139.83
  5. Step 5: Solve for x
    x = 40,448,139.83/7,317.50
  6. Step 6: Final answer
    x = 5,527.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.