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Finding the Fourth Proportional to 10,225.96, 15,338.94 and 4,382.08

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Solution

The fourth proportional to 10,225.96, 15,338.94 and 4,382.08 is: 6,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.96 : 15,338.94 = 4,382.08 : x
  2. Step 2: Convert to fraction form
    10,225.96/15,338.94 = 4,382.08/x
  3. Step 3: Cross multiply
    10,225.96x = 15,338.94 × 4,382.08
  4. Step 4: Simplify right side
    10,225.96x = 67,216,462.20
  5. Step 5: Solve for x
    x = 67,216,462.20/10,225.96
  6. Step 6: Final answer
    x = 6,573.12

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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.