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Finding the Fourth Proportional to 8,823.77, 12,177.00 and 5,047.28

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Solution

The fourth proportional to 8,823.77, 12,177.00 and 5,047.28 is: 6,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.77 : 12,177.00 = 5,047.28 : x
  2. Step 2: Convert to fraction form
    8,823.77/12,177.00 = 5,047.28/x
  3. Step 3: Cross multiply
    8,823.77x = 12,177.00 × 5,047.28
  4. Step 4: Simplify right side
    8,823.77x = 61,460,642.44
  5. Step 5: Solve for x
    x = 61,460,642.44/8,823.77
  6. Step 6: Final answer
    x = 6,965.35

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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.