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Finding the Fourth Proportional to 10,898.50, 15,039.93 and 5,930.50

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Solution

The fourth proportional to 10,898.50, 15,039.93 and 5,930.50 is: 8,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.50 : 15,039.93 = 5,930.50 : x
  2. Step 2: Convert to fraction form
    10,898.50/15,039.93 = 5,930.50/x
  3. Step 3: Cross multiply
    10,898.50x = 15,039.93 × 5,930.50
  4. Step 4: Simplify right side
    10,898.50x = 89,194,304.87
  5. Step 5: Solve for x
    x = 89,194,304.87/10,898.50
  6. Step 6: Final answer
    x = 8,184.09

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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.