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Finding the Fourth Proportional to 7,184.04, 9,879.30 and 5,749.74

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Solution

The fourth proportional to 7,184.04, 9,879.30 and 5,749.74 is: 7,906.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.04 : 9,879.30 = 5,749.74 : x
  2. Step 2: Convert to fraction form
    7,184.04/9,879.30 = 5,749.74/x
  3. Step 3: Cross multiply
    7,184.04x = 9,879.30 × 5,749.74
  4. Step 4: Simplify right side
    7,184.04x = 56,803,406.38
  5. Step 5: Solve for x
    x = 56,803,406.38/7,184.04
  6. Step 6: Final answer
    x = 7,906.89

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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.