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Finding the Fourth Proportional to 10,451.77, 15,677.15 and 3,430.89

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Solution

The fourth proportional to 10,451.77, 15,677.15 and 3,430.89 is: 5,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.77 : 15,677.15 = 3,430.89 : x
  2. Step 2: Convert to fraction form
    10,451.77/15,677.15 = 3,430.89/x
  3. Step 3: Cross multiply
    10,451.77x = 15,677.15 × 3,430.89
  4. Step 4: Simplify right side
    10,451.77x = 53,786,560.01
  5. Step 5: Solve for x
    x = 53,786,560.01/10,451.77
  6. Step 6: Final answer
    x = 5,146.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.