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Finding the Fourth Proportional to 10,527.71, 15,791.36 and 3,137.13

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Solution

The fourth proportional to 10,527.71, 15,791.36 and 3,137.13 is: 4,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.71 : 15,791.36 = 3,137.13 : x
  2. Step 2: Convert to fraction form
    10,527.71/15,791.36 = 3,137.13/x
  3. Step 3: Cross multiply
    10,527.71x = 15,791.36 × 3,137.13
  4. Step 4: Simplify right side
    10,527.71x = 49,539,533.51
  5. Step 5: Solve for x
    x = 49,539,533.51/10,527.71
  6. Step 6: Final answer
    x = 4,705.63

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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.