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Finding the Fourth Proportional to 10,222.47, 15,338.03 and 4,381.83

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Solution

The fourth proportional to 10,222.47, 15,338.03 and 4,381.83 is: 6,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.47 : 15,338.03 = 4,381.83 : x
  2. Step 2: Convert to fraction form
    10,222.47/15,338.03 = 4,381.83/x
  3. Step 3: Cross multiply
    10,222.47x = 15,338.03 × 4,381.83
  4. Step 4: Simplify right side
    10,222.47x = 67,208,639.99
  5. Step 5: Solve for x
    x = 67,208,639.99/10,222.47
  6. Step 6: Final answer
    x = 6,574.60

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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.