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Finding the Fourth Proportional to 7,769.63, 10,726.36 and 5,784.93

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Solution

The fourth proportional to 7,769.63, 10,726.36 and 5,784.93 is: 7,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.63 : 10,726.36 = 5,784.93 : x
  2. Step 2: Convert to fraction form
    7,769.63/10,726.36 = 5,784.93/x
  3. Step 3: Cross multiply
    7,769.63x = 10,726.36 × 5,784.93
  4. Step 4: Simplify right side
    7,769.63x = 62,051,227.29
  5. Step 5: Solve for x
    x = 62,051,227.29/7,769.63
  6. Step 6: Final answer
    x = 7,986.38

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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.