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Finding the Fourth Proportional to 10,561.70, 15,842.55 and 6,683.30

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Solution

The fourth proportional to 10,561.70, 15,842.55 and 6,683.30 is: 10,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.70 : 15,842.55 = 6,683.30 : x
  2. Step 2: Convert to fraction form
    10,561.70/15,842.55 = 6,683.30/x
  3. Step 3: Cross multiply
    10,561.70x = 15,842.55 × 6,683.30
  4. Step 4: Simplify right side
    10,561.70x = 105,880,514.42
  5. Step 5: Solve for x
    x = 105,880,514.42/10,561.70
  6. Step 6: Final answer
    x = 10,024.95

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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.