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Finding the Fourth Proportional to 8,783.45, 13,167.78 and 4,101

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Solution

The fourth proportional to 8,783.45, 13,167.78 and 4,101 is: 6,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.45 : 13,167.78 = 4,101 : x
  2. Step 2: Convert to fraction form
    8,783.45/13,167.78 = 4,101/x
  3. Step 3: Cross multiply
    8,783.45x = 13,167.78 × 4,101
  4. Step 4: Simplify right side
    8,783.45x = 54,001,065.78
  5. Step 5: Solve for x
    x = 54,001,065.78/8,783.45
  6. Step 6: Final answer
    x = 6,148.05

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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.