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Finding the Fourth Proportional to 7,001.86, 10,484.16 and 6,171.52

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Solution

The fourth proportional to 7,001.86, 10,484.16 and 6,171.52 is: 9,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.86 : 10,484.16 = 6,171.52 : x
  2. Step 2: Convert to fraction form
    7,001.86/10,484.16 = 6,171.52/x
  3. Step 3: Cross multiply
    7,001.86x = 10,484.16 × 6,171.52
  4. Step 4: Simplify right side
    7,001.86x = 64,703,203.12
  5. Step 5: Solve for x
    x = 64,703,203.12/7,001.86
  6. Step 6: Final answer
    x = 9,240.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.