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Finding the Fourth Proportional to 10,244.38, 15,352.28 and 7,743.50

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Solution

The fourth proportional to 10,244.38, 15,352.28 and 7,743.50 is: 11,604.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.38 : 15,352.28 = 7,743.50 : x
  2. Step 2: Convert to fraction form
    10,244.38/15,352.28 = 7,743.50/x
  3. Step 3: Cross multiply
    10,244.38x = 15,352.28 × 7,743.50
  4. Step 4: Simplify right side
    10,244.38x = 118,880,341.46
  5. Step 5: Solve for x
    x = 118,880,341.46/10,244.38
  6. Step 6: Final answer
    x = 11,604.45

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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.