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Finding the Fourth Proportional to 10,404.86, 14,381.96 and 7,776.81

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Solution

The fourth proportional to 10,404.86, 14,381.96 and 7,776.81 is: 10,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.86 : 14,381.96 = 7,776.81 : x
  2. Step 2: Convert to fraction form
    10,404.86/14,381.96 = 7,776.81/x
  3. Step 3: Cross multiply
    10,404.86x = 14,381.96 × 7,776.81
  4. Step 4: Simplify right side
    10,404.86x = 111,845,731.46
  5. Step 5: Solve for x
    x = 111,845,731.46/10,404.86
  6. Step 6: Final answer
    x = 10,749.38

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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.