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Finding the Fourth Proportional to 10,491.86, 14,475.50 and 5,953.79

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Solution

The fourth proportional to 10,491.86, 14,475.50 and 5,953.79 is: 8,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.86 : 14,475.50 = 5,953.79 : x
  2. Step 2: Convert to fraction form
    10,491.86/14,475.50 = 5,953.79/x
  3. Step 3: Cross multiply
    10,491.86x = 14,475.50 × 5,953.79
  4. Step 4: Simplify right side
    10,491.86x = 86,184,087.15
  5. Step 5: Solve for x
    x = 86,184,087.15/10,491.86
  6. Step 6: Final answer
    x = 8,214.38

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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.