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Finding the Fourth Proportional to 10,735.44, 14,814.84 and 6,019.71

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Solution

The fourth proportional to 10,735.44, 14,814.84 and 6,019.71 is: 8,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.44 : 14,814.84 = 6,019.71 : x
  2. Step 2: Convert to fraction form
    10,735.44/14,814.84 = 6,019.71/x
  3. Step 3: Cross multiply
    10,735.44x = 14,814.84 × 6,019.71
  4. Step 4: Simplify right side
    10,735.44x = 89,181,040.50
  5. Step 5: Solve for x
    x = 89,181,040.50/10,735.44
  6. Step 6: Final answer
    x = 8,307.16

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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.