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Finding the Fourth Proportional to 10,131.57, 13,992.35 and 7,715.70

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Solution

The fourth proportional to 10,131.57, 13,992.35 and 7,715.70 is: 10,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.57 : 13,992.35 = 7,715.70 : x
  2. Step 2: Convert to fraction form
    10,131.57/13,992.35 = 7,715.70/x
  3. Step 3: Cross multiply
    10,131.57x = 13,992.35 × 7,715.70
  4. Step 4: Simplify right side
    10,131.57x = 107,960,736.32
  5. Step 5: Solve for x
    x = 107,960,736.32/10,131.57
  6. Step 6: Final answer
    x = 10,655.87

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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.