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Finding the Fourth Proportional to 7,875.52, 11,778 and 7,003.44

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Solution

The fourth proportional to 7,875.52, 11,778 and 7,003.44 is: 10,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.52 : 11,778 = 7,003.44 : x
  2. Step 2: Convert to fraction form
    7,875.52/11,778 = 7,003.44/x
  3. Step 3: Cross multiply
    7,875.52x = 11,778 × 7,003.44
  4. Step 4: Simplify right side
    7,875.52x = 82,486,516.32
  5. Step 5: Solve for x
    x = 82,486,516.32/7,875.52
  6. Step 6: Final answer
    x = 10,473.79

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Why These Related Problems?

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