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Finding the Fourth Proportional to 10,494.75, 14,482.80 and 6,305.43

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Solution

The fourth proportional to 10,494.75, 14,482.80 and 6,305.43 is: 8,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.75 : 14,482.80 = 6,305.43 : x
  2. Step 2: Convert to fraction form
    10,494.75/14,482.80 = 6,305.43/x
  3. Step 3: Cross multiply
    10,494.75x = 14,482.80 × 6,305.43
  4. Step 4: Simplify right side
    10,494.75x = 91,320,281.60
  5. Step 5: Solve for x
    x = 91,320,281.60/10,494.75
  6. Step 6: Final answer
    x = 8,701.52

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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.