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Finding the Fourth Proportional to 10,230.04, 15,337.95 and 5,222.68

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Solution

The fourth proportional to 10,230.04, 15,337.95 and 5,222.68 is: 7,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.04 : 15,337.95 = 5,222.68 : x
  2. Step 2: Convert to fraction form
    10,230.04/15,337.95 = 5,222.68/x
  3. Step 3: Cross multiply
    10,230.04x = 15,337.95 × 5,222.68
  4. Step 4: Simplify right side
    10,230.04x = 80,105,204.71
  5. Step 5: Solve for x
    x = 80,105,204.71/10,230.04
  6. Step 6: Final answer
    x = 7,830.39

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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.