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Finding the Fourth Proportional to 10,727.52, 14,804.16 and 6,011.68

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Solution

The fourth proportional to 10,727.52, 14,804.16 and 6,011.68 is: 8,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.52 : 14,804.16 = 6,011.68 : x
  2. Step 2: Convert to fraction form
    10,727.52/14,804.16 = 6,011.68/x
  3. Step 3: Cross multiply
    10,727.52x = 14,804.16 × 6,011.68
  4. Step 4: Simplify right side
    10,727.52x = 88,997,872.59
  5. Step 5: Solve for x
    x = 88,997,872.59/10,727.52
  6. Step 6: Final answer
    x = 8,296.22

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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.