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Finding the Fourth Proportional to 7,188.24, 9,917.04 and 4,354.58

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Solution

The fourth proportional to 7,188.24, 9,917.04 and 4,354.58 is: 6,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.24 : 9,917.04 = 4,354.58 : x
  2. Step 2: Convert to fraction form
    7,188.24/9,917.04 = 4,354.58/x
  3. Step 3: Cross multiply
    7,188.24x = 9,917.04 × 4,354.58
  4. Step 4: Simplify right side
    7,188.24x = 43,184,503.90
  5. Step 5: Solve for x
    x = 43,184,503.90/7,188.24
  6. Step 6: Final answer
    x = 6,007.66

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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.