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Finding the Fourth Proportional to 13,377.13, 18,460.64 and 7,711.78

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Solution

The fourth proportional to 13,377.13, 18,460.64 and 7,711.78 is: 10,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377.13 : 18,460.64 = 7,711.78 : x
  2. Step 2: Convert to fraction form
    13,377.13/18,460.64 = 7,711.78/x
  3. Step 3: Cross multiply
    13,377.13x = 18,460.64 × 7,711.78
  4. Step 4: Simplify right side
    13,377.13x = 142,364,309.63
  5. Step 5: Solve for x
    x = 142,364,309.63/13,377.13
  6. Step 6: Final answer
    x = 10,642.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.