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Finding the Fourth Proportional to 10,486.40, 14,470.80 and 6,704.24

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Solution

The fourth proportional to 10,486.40, 14,470.80 and 6,704.24 is: 9,251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.40 : 14,470.80 = 6,704.24 : x
  2. Step 2: Convert to fraction form
    10,486.40/14,470.80 = 6,704.24/x
  3. Step 3: Cross multiply
    10,486.40x = 14,470.80 × 6,704.24
  4. Step 4: Simplify right side
    10,486.40x = 97,015,716.19
  5. Step 5: Solve for x
    x = 97,015,716.19/10,486.40
  6. Step 6: Final answer
    x = 9,251.58

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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.