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Finding the Fourth Proportional to 11,374.86, 17,062.29 and 4,444.50

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Solution

The fourth proportional to 11,374.86, 17,062.29 and 4,444.50 is: 6,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.86 : 17,062.29 = 4,444.50 : x
  2. Step 2: Convert to fraction form
    11,374.86/17,062.29 = 4,444.50/x
  3. Step 3: Cross multiply
    11,374.86x = 17,062.29 × 4,444.50
  4. Step 4: Simplify right side
    11,374.86x = 75,833,347.91
  5. Step 5: Solve for x
    x = 75,833,347.91/11,374.86
  6. Step 6: Final answer
    x = 6,666.75

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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.