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Finding the Fourth Proportional to 10,735.36, 14,814.77 and 6,019.74

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Solution

The fourth proportional to 10,735.36, 14,814.77 and 6,019.74 is: 8,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.36 : 14,814.77 = 6,019.74 : x
  2. Step 2: Convert to fraction form
    10,735.36/14,814.77 = 6,019.74/x
  3. Step 3: Cross multiply
    10,735.36x = 14,814.77 × 6,019.74
  4. Step 4: Simplify right side
    10,735.36x = 89,181,033.46
  5. Step 5: Solve for x
    x = 89,181,033.46/10,735.36
  6. Step 6: Final answer
    x = 8,307.23

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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.