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Finding the Fourth Proportional to 10,203.87, 15,307.33 and 5,524.53

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Solution

The fourth proportional to 10,203.87, 15,307.33 and 5,524.53 is: 8,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.87 : 15,307.33 = 5,524.53 : x
  2. Step 2: Convert to fraction form
    10,203.87/15,307.33 = 5,524.53/x
  3. Step 3: Cross multiply
    10,203.87x = 15,307.33 × 5,524.53
  4. Step 4: Simplify right side
    10,203.87x = 84,565,786.00
  5. Step 5: Solve for x
    x = 84,565,786.00/10,203.87
  6. Step 6: Final answer
    x = 8,287.62

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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.