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Finding the Fourth Proportional to 8,039.16, 11,071.08 and 7,539.12

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Solution

The fourth proportional to 8,039.16, 11,071.08 and 7,539.12 is: 10,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.16 : 11,071.08 = 7,539.12 : x
  2. Step 2: Convert to fraction form
    8,039.16/11,071.08 = 7,539.12/x
  3. Step 3: Cross multiply
    8,039.16x = 11,071.08 × 7,539.12
  4. Step 4: Simplify right side
    8,039.16x = 83,466,200.65
  5. Step 5: Solve for x
    x = 83,466,200.65/8,039.16
  6. Step 6: Final answer
    x = 10,382.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.