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Finding the Fourth Proportional to 7,191.96, 9,924.53 and 4,005.51

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Solution

The fourth proportional to 7,191.96, 9,924.53 and 4,005.51 is: 5,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.96 : 9,924.53 = 4,005.51 : x
  2. Step 2: Convert to fraction form
    7,191.96/9,924.53 = 4,005.51/x
  3. Step 3: Cross multiply
    7,191.96x = 9,924.53 × 4,005.51
  4. Step 4: Simplify right side
    7,191.96x = 39,752,746.92
  5. Step 5: Solve for x
    x = 39,752,746.92/7,191.96
  6. Step 6: Final answer
    x = 5,527.39

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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.