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Finding the Fourth Proportional to 10,291.78, 15,431.19 and 3,716.74

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Solution

The fourth proportional to 10,291.78, 15,431.19 and 3,716.74 is: 5,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.78 : 15,431.19 = 3,716.74 : x
  2. Step 2: Convert to fraction form
    10,291.78/15,431.19 = 3,716.74/x
  3. Step 3: Cross multiply
    10,291.78x = 15,431.19 × 3,716.74
  4. Step 4: Simplify right side
    10,291.78x = 57,353,721.12
  5. Step 5: Solve for x
    x = 57,353,721.12/10,291.78
  6. Step 6: Final answer
    x = 5,572.77

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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.