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Finding the Fourth Proportional to 10,735.25, 14,814.97 and 6,019.70

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Solution

The fourth proportional to 10,735.25, 14,814.97 and 6,019.70 is: 8,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.25 : 14,814.97 = 6,019.70 : x
  2. Step 2: Convert to fraction form
    10,735.25/14,814.97 = 6,019.70/x
  3. Step 3: Cross multiply
    10,735.25x = 14,814.97 × 6,019.70
  4. Step 4: Simplify right side
    10,735.25x = 89,181,585.78
  5. Step 5: Solve for x
    x = 89,181,585.78/10,735.25
  6. Step 6: Final answer
    x = 8,307.36

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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.