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Finding the Fourth Proportional to 8,667.12, 13,001.64 and 4,769.52

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Solution

The fourth proportional to 8,667.12, 13,001.64 and 4,769.52 is: 7,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.12 : 13,001.64 = 4,769.52 : x
  2. Step 2: Convert to fraction form
    8,667.12/13,001.64 = 4,769.52/x
  3. Step 3: Cross multiply
    8,667.12x = 13,001.64 × 4,769.52
  4. Step 4: Simplify right side
    8,667.12x = 62,011,582.01
  5. Step 5: Solve for x
    x = 62,011,582.01/8,667.12
  6. Step 6: Final answer
    x = 7,154.81

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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.