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Finding the Fourth Proportional to 10,771.69, 14,864.78 and 6,055.98

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Solution

The fourth proportional to 10,771.69, 14,864.78 and 6,055.98 is: 8,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.69 : 14,864.78 = 6,055.98 : x
  2. Step 2: Convert to fraction form
    10,771.69/14,864.78 = 6,055.98/x
  3. Step 3: Cross multiply
    10,771.69x = 14,864.78 × 6,055.98
  4. Step 4: Simplify right side
    10,771.69x = 90,020,810.38
  5. Step 5: Solve for x
    x = 90,020,810.38/10,771.69
  6. Step 6: Final answer
    x = 8,357.17

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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.