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Finding the Fourth Proportional to 10,735.66, 14,814.36 and 6,019.30

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Solution

The fourth proportional to 10,735.66, 14,814.36 and 6,019.30 is: 8,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.66 : 14,814.36 = 6,019.30 : x
  2. Step 2: Convert to fraction form
    10,735.66/14,814.36 = 6,019.30/x
  3. Step 3: Cross multiply
    10,735.66x = 14,814.36 × 6,019.30
  4. Step 4: Simplify right side
    10,735.66x = 89,172,077.15
  5. Step 5: Solve for x
    x = 89,172,077.15/10,735.66
  6. Step 6: Final answer
    x = 8,306.16

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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.