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Finding the Fourth Proportional to 10,570.77, 14,587.76 and 5,790.83

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Solution

The fourth proportional to 10,570.77, 14,587.76 and 5,790.83 is: 7,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.77 : 14,587.76 = 5,790.83 : x
  2. Step 2: Convert to fraction form
    10,570.77/14,587.76 = 5,790.83/x
  3. Step 3: Cross multiply
    10,570.77x = 14,587.76 × 5,790.83
  4. Step 4: Simplify right side
    10,570.77x = 84,475,179.78
  5. Step 5: Solve for x
    x = 84,475,179.78/10,570.77
  6. Step 6: Final answer
    x = 7,991.39

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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.