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Finding the Fourth Proportional to 7,978.61, 11,010.24 and 4,441.74

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Solution

The fourth proportional to 7,978.61, 11,010.24 and 4,441.74 is: 6,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.61 : 11,010.24 = 4,441.74 : x
  2. Step 2: Convert to fraction form
    7,978.61/11,010.24 = 4,441.74/x
  3. Step 3: Cross multiply
    7,978.61x = 11,010.24 × 4,441.74
  4. Step 4: Simplify right side
    7,978.61x = 48,904,623.42
  5. Step 5: Solve for x
    x = 48,904,623.42/7,978.61
  6. Step 6: Final answer
    x = 6,129.47

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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.