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Finding the Fourth Proportional to 10,332.96, 14,266.34 and 7,938.66

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Solution

The fourth proportional to 10,332.96, 14,266.34 and 7,938.66 is: 10,960.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.96 : 14,266.34 = 7,938.66 : x
  2. Step 2: Convert to fraction form
    10,332.96/14,266.34 = 7,938.66/x
  3. Step 3: Cross multiply
    10,332.96x = 14,266.34 × 7,938.66
  4. Step 4: Simplify right side
    10,332.96x = 113,255,622.70
  5. Step 5: Solve for x
    x = 113,255,622.70/10,332.96
  6. Step 6: Final answer
    x = 10,960.62

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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.