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Finding the Fourth Proportional to 10,339.74, 14,276.85 and 7,945.92

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Solution

The fourth proportional to 10,339.74, 14,276.85 and 7,945.92 is: 10,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.74 : 14,276.85 = 7,945.92 : x
  2. Step 2: Convert to fraction form
    10,339.74/14,276.85 = 7,945.92/x
  3. Step 3: Cross multiply
    10,339.74x = 14,276.85 × 7,945.92
  4. Step 4: Simplify right side
    10,339.74x = 113,442,707.95
  5. Step 5: Solve for x
    x = 113,442,707.95/10,339.74
  6. Step 6: Final answer
    x = 10,971.52

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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.