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Finding the Fourth Proportional to 7,898.64, 11,849.04 and 4,001.04

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Solution

The fourth proportional to 7,898.64, 11,849.04 and 4,001.04 is: 6,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.64 : 11,849.04 = 4,001.04 : x
  2. Step 2: Convert to fraction form
    7,898.64/11,849.04 = 4,001.04/x
  3. Step 3: Cross multiply
    7,898.64x = 11,849.04 × 4,001.04
  4. Step 4: Simplify right side
    7,898.64x = 47,408,483.00
  5. Step 5: Solve for x
    x = 47,408,483.00/7,898.64
  6. Step 6: Final answer
    x = 6,002.11

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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.