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Finding the Fourth Proportional to 10,225.53, 15,309.72 and 5,528.71

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Solution

The fourth proportional to 10,225.53, 15,309.72 and 5,528.71 is: 8,277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.53 : 15,309.72 = 5,528.71 : x
  2. Step 2: Convert to fraction form
    10,225.53/15,309.72 = 5,528.71/x
  3. Step 3: Cross multiply
    10,225.53x = 15,309.72 × 5,528.71
  4. Step 4: Simplify right side
    10,225.53x = 84,643,002.06
  5. Step 5: Solve for x
    x = 84,643,002.06/10,225.53
  6. Step 6: Final answer
    x = 8,277.62

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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.