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Finding the Fourth Proportional to 7,258.83, 10,879.35 and 5,167.50

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Solution

The fourth proportional to 7,258.83, 10,879.35 and 5,167.50 is: 7,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.83 : 10,879.35 = 5,167.50 : x
  2. Step 2: Convert to fraction form
    7,258.83/10,879.35 = 5,167.50/x
  3. Step 3: Cross multiply
    7,258.83x = 10,879.35 × 5,167.50
  4. Step 4: Simplify right side
    7,258.83x = 56,219,041.13
  5. Step 5: Solve for x
    x = 56,219,041.13/7,258.83
  6. Step 6: Final answer
    x = 7,744.92

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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.