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Finding the Fourth Proportional to 13,378.86, 18,461.28 and 7,713.57

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Solution

The fourth proportional to 13,378.86, 18,461.28 and 7,713.57 is: 10,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.86 : 18,461.28 = 7,713.57 : x
  2. Step 2: Convert to fraction form
    13,378.86/18,461.28 = 7,713.57/x
  3. Step 3: Cross multiply
    13,378.86x = 18,461.28 × 7,713.57
  4. Step 4: Simplify right side
    13,378.86x = 142,402,375.57
  5. Step 5: Solve for x
    x = 142,402,375.57/13,378.86
  6. Step 6: Final answer
    x = 10,643.83

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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.