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Finding the Fourth Proportional to 10,061.38, 13,880.85 and 7,762.46

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Solution

The fourth proportional to 10,061.38, 13,880.85 and 7,762.46 is: 10,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.38 : 13,880.85 = 7,762.46 : x
  2. Step 2: Convert to fraction form
    10,061.38/13,880.85 = 7,762.46/x
  3. Step 3: Cross multiply
    10,061.38x = 13,880.85 × 7,762.46
  4. Step 4: Simplify right side
    10,061.38x = 107,749,542.89
  5. Step 5: Solve for x
    x = 107,749,542.89/10,061.38
  6. Step 6: Final answer
    x = 10,709.23

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Why These Related Problems?

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