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Finding the Fourth Proportional to 10,465.83, 14,440.95 and 7,947.27

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Solution

The fourth proportional to 10,465.83, 14,440.95 and 7,947.27 is: 10,965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.83 : 14,440.95 = 7,947.27 : x
  2. Step 2: Convert to fraction form
    10,465.83/14,440.95 = 7,947.27/x
  3. Step 3: Cross multiply
    10,465.83x = 14,440.95 × 7,947.27
  4. Step 4: Simplify right side
    10,465.83x = 114,766,128.71
  5. Step 5: Solve for x
    x = 114,766,128.71/10,465.83
  6. Step 6: Final answer
    x = 10,965.79

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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.