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Finding the Fourth Proportional to 7,441.72, 11,169.90 and 5,062.50

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Solution

The fourth proportional to 7,441.72, 11,169.90 and 5,062.50 is: 7,598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.72 : 11,169.90 = 5,062.50 : x
  2. Step 2: Convert to fraction form
    7,441.72/11,169.90 = 5,062.50/x
  3. Step 3: Cross multiply
    7,441.72x = 11,169.90 × 5,062.50
  4. Step 4: Simplify right side
    7,441.72x = 56,547,618.75
  5. Step 5: Solve for x
    x = 56,547,618.75/7,441.72
  6. Step 6: Final answer
    x = 7,598.73

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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.