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Finding the Fourth Proportional to 10,400.06, 15,670.24 and 8,591.67

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Solution

The fourth proportional to 10,400.06, 15,670.24 and 8,591.67 is: 12,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.06 : 15,670.24 = 8,591.67 : x
  2. Step 2: Convert to fraction form
    10,400.06/15,670.24 = 8,591.67/x
  3. Step 3: Cross multiply
    10,400.06x = 15,670.24 × 8,591.67
  4. Step 4: Simplify right side
    10,400.06x = 134,633,509.42
  5. Step 5: Solve for x
    x = 134,633,509.42/10,400.06
  6. Step 6: Final answer
    x = 12,945.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.