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Finding the Fourth Proportional to 10,323.66, 14,246.84 and 5,847.40

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Solution

The fourth proportional to 10,323.66, 14,246.84 and 5,847.40 is: 8,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.66 : 14,246.84 = 5,847.40 : x
  2. Step 2: Convert to fraction form
    10,323.66/14,246.84 = 5,847.40/x
  3. Step 3: Cross multiply
    10,323.66x = 14,246.84 × 5,847.40
  4. Step 4: Simplify right side
    10,323.66x = 83,306,951.22
  5. Step 5: Solve for x
    x = 83,306,951.22/10,323.66
  6. Step 6: Final answer
    x = 8,069.52

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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.