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Finding the Fourth Proportional to 10,253.79, 15,382.98 and 5,578.02

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Solution

The fourth proportional to 10,253.79, 15,382.98 and 5,578.02 is: 8,368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.79 : 15,382.98 = 5,578.02 : x
  2. Step 2: Convert to fraction form
    10,253.79/15,382.98 = 5,578.02/x
  3. Step 3: Cross multiply
    10,253.79x = 15,382.98 × 5,578.02
  4. Step 4: Simplify right side
    10,253.79x = 85,806,570.10
  5. Step 5: Solve for x
    x = 85,806,570.10/10,253.79
  6. Step 6: Final answer
    x = 8,368.28

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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.