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Finding the Fourth Proportional to 11,898.47, 17,847.82 and 4,876.68

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Solution

The fourth proportional to 11,898.47, 17,847.82 and 4,876.68 is: 7,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.47 : 17,847.82 = 4,876.68 : x
  2. Step 2: Convert to fraction form
    11,898.47/17,847.82 = 4,876.68/x
  3. Step 3: Cross multiply
    11,898.47x = 17,847.82 × 4,876.68
  4. Step 4: Simplify right side
    11,898.47x = 87,038,106.84
  5. Step 5: Solve for x
    x = 87,038,106.84/11,898.47
  6. Step 6: Final answer
    x = 7,315.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.