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Finding the Fourth Proportional to 11,898.65, 17,848.10 and 4,876.87

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Solution

The fourth proportional to 11,898.65, 17,848.10 and 4,876.87 is: 7,315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.65 : 17,848.10 = 4,876.87 : x
  2. Step 2: Convert to fraction form
    11,898.65/17,848.10 = 4,876.87/x
  3. Step 3: Cross multiply
    11,898.65x = 17,848.10 × 4,876.87
  4. Step 4: Simplify right side
    11,898.65x = 87,042,831.02
  5. Step 5: Solve for x
    x = 87,042,831.02/11,898.65
  6. Step 6: Final answer
    x = 7,315.35

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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.