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Finding the Fourth Proportional to 10,139.16, 13,990.14 and 5,662.92

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Solution

The fourth proportional to 10,139.16, 13,990.14 and 5,662.92 is: 7,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.16 : 13,990.14 = 5,662.92 : x
  2. Step 2: Convert to fraction form
    10,139.16/13,990.14 = 5,662.92/x
  3. Step 3: Cross multiply
    10,139.16x = 13,990.14 × 5,662.92
  4. Step 4: Simplify right side
    10,139.16x = 79,225,043.61
  5. Step 5: Solve for x
    x = 79,225,043.61/10,139.16
  6. Step 6: Final answer
    x = 7,813.77

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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.