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Finding the Fourth Proportional to 8,071.16, 11,139 and 5,424.08

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Solution

The fourth proportional to 8,071.16, 11,139 and 5,424.08 is: 7,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.16 : 11,139 = 5,424.08 : x
  2. Step 2: Convert to fraction form
    8,071.16/11,139 = 5,424.08/x
  3. Step 3: Cross multiply
    8,071.16x = 11,139 × 5,424.08
  4. Step 4: Simplify right side
    8,071.16x = 60,418,827.12
  5. Step 5: Solve for x
    x = 60,418,827.12/8,071.16
  6. Step 6: Final answer
    x = 7,485.77

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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.