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Finding the Fourth Proportional to 8,898.64, 13,351.14 and 3,967.84

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Solution

The fourth proportional to 8,898.64, 13,351.14 and 3,967.84 is: 5,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,898.64 : 13,351.14 = 3,967.84 : x
  2. Step 2: Convert to fraction form
    8,898.64/13,351.14 = 3,967.84/x
  3. Step 3: Cross multiply
    8,898.64x = 13,351.14 × 3,967.84
  4. Step 4: Simplify right side
    8,898.64x = 52,975,187.34
  5. Step 5: Solve for x
    x = 52,975,187.34/8,898.64
  6. Step 6: Final answer
    x = 5,953.18

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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.