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Finding the Fourth Proportional to 7,407.52, 11,101.68 and 5,544

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Solution

The fourth proportional to 7,407.52, 11,101.68 and 5,544 is: 8,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.52 : 11,101.68 = 5,544 : x
  2. Step 2: Convert to fraction form
    7,407.52/11,101.68 = 5,544/x
  3. Step 3: Cross multiply
    7,407.52x = 11,101.68 × 5,544
  4. Step 4: Simplify right side
    7,407.52x = 61,547,713.92
  5. Step 5: Solve for x
    x = 61,547,713.92/7,407.52
  6. Step 6: Final answer
    x = 8,308.82

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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.