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Finding the Fourth Proportional to 10,667.40, 15,996.96 and 5,117.76

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Solution

The fourth proportional to 10,667.40, 15,996.96 and 5,117.76 is: 7,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.40 : 15,996.96 = 5,117.76 : x
  2. Step 2: Convert to fraction form
    10,667.40/15,996.96 = 5,117.76/x
  3. Step 3: Cross multiply
    10,667.40x = 15,996.96 × 5,117.76
  4. Step 4: Simplify right side
    10,667.40x = 81,868,602.01
  5. Step 5: Solve for x
    x = 81,868,602.01/10,667.40
  6. Step 6: Final answer
    x = 7,674.65

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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.