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Finding the Fourth Proportional to 8,723.76, 13,089.14 and 3,177.50

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Solution

The fourth proportional to 8,723.76, 13,089.14 and 3,177.50 is: 4,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.76 : 13,089.14 = 3,177.50 : x
  2. Step 2: Convert to fraction form
    8,723.76/13,089.14 = 3,177.50/x
  3. Step 3: Cross multiply
    8,723.76x = 13,089.14 × 3,177.50
  4. Step 4: Simplify right side
    8,723.76x = 41,590,661.02
  5. Step 5: Solve for x
    x = 41,590,661.02/8,723.76
  6. Step 6: Final answer
    x = 4,767.52

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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.