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Finding the Fourth Proportional to 10,610.90, 15,892.12 and 5,068.16

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Solution

The fourth proportional to 10,610.90, 15,892.12 and 5,068.16 is: 7,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.90 : 15,892.12 = 5,068.16 : x
  2. Step 2: Convert to fraction form
    10,610.90/15,892.12 = 5,068.16/x
  3. Step 3: Cross multiply
    10,610.90x = 15,892.12 × 5,068.16
  4. Step 4: Simplify right side
    10,610.90x = 80,543,806.90
  5. Step 5: Solve for x
    x = 80,543,806.90/10,610.90
  6. Step 6: Final answer
    x = 7,590.67

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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.