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Finding the Fourth Proportional to 10,382.54, 15,575.02 and 4,538.38

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Solution

The fourth proportional to 10,382.54, 15,575.02 and 4,538.38 is: 6,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.54 : 15,575.02 = 4,538.38 : x
  2. Step 2: Convert to fraction form
    10,382.54/15,575.02 = 4,538.38/x
  3. Step 3: Cross multiply
    10,382.54x = 15,575.02 × 4,538.38
  4. Step 4: Simplify right side
    10,382.54x = 70,685,359.27
  5. Step 5: Solve for x
    x = 70,685,359.27/10,382.54
  6. Step 6: Final answer
    x = 6,808.10

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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.