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Finding the Fourth Proportional to 10,313.60, 14,233.01 and 6,332.45

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Solution

The fourth proportional to 10,313.60, 14,233.01 and 6,332.45 is: 8,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.60 : 14,233.01 = 6,332.45 : x
  2. Step 2: Convert to fraction form
    10,313.60/14,233.01 = 6,332.45/x
  3. Step 3: Cross multiply
    10,313.60x = 14,233.01 × 6,332.45
  4. Step 4: Simplify right side
    10,313.60x = 90,129,721.35
  5. Step 5: Solve for x
    x = 90,129,721.35/10,313.60
  6. Step 6: Final answer
    x = 8,738.92

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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.