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Finding the Fourth Proportional to 10,089, 13,922.82 and 5,898.06

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Solution

The fourth proportional to 10,089, 13,922.82 and 5,898.06 is: 8,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089 : 13,922.82 = 5,898.06 : x
  2. Step 2: Convert to fraction form
    10,089/13,922.82 = 5,898.06/x
  3. Step 3: Cross multiply
    10,089x = 13,922.82 × 5,898.06
  4. Step 4: Simplify right side
    10,089x = 82,117,627.73
  5. Step 5: Solve for x
    x = 82,117,627.73/10,089
  6. Step 6: Final answer
    x = 8,139.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.