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Finding the Fourth Proportional to 7,461.86, 11,199.51 and 4,867.94

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Solution

The fourth proportional to 7,461.86, 11,199.51 and 4,867.94 is: 7,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.86 : 11,199.51 = 4,867.94 : x
  2. Step 2: Convert to fraction form
    7,461.86/11,199.51 = 4,867.94/x
  3. Step 3: Cross multiply
    7,461.86x = 11,199.51 × 4,867.94
  4. Step 4: Simplify right side
    7,461.86x = 54,518,542.71
  5. Step 5: Solve for x
    x = 54,518,542.71/7,461.86
  6. Step 6: Final answer
    x = 7,306.29

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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.