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Finding the Fourth Proportional to 10,283.69, 15,425.40 and 2,492.57

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Solution

The fourth proportional to 10,283.69, 15,425.40 and 2,492.57 is: 3,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.69 : 15,425.40 = 2,492.57 : x
  2. Step 2: Convert to fraction form
    10,283.69/15,425.40 = 2,492.57/x
  3. Step 3: Cross multiply
    10,283.69x = 15,425.40 × 2,492.57
  4. Step 4: Simplify right side
    10,283.69x = 38,448,937.19
  5. Step 5: Solve for x
    x = 38,448,937.19/10,283.69
  6. Step 6: Final answer
    x = 3,738.83

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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.