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Finding the Fourth Proportional to 7,877.93, 10,871.08 and 4,894.02

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Solution

The fourth proportional to 7,877.93, 10,871.08 and 4,894.02 is: 6,753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.93 : 10,871.08 = 4,894.02 : x
  2. Step 2: Convert to fraction form
    7,877.93/10,871.08 = 4,894.02/x
  3. Step 3: Cross multiply
    7,877.93x = 10,871.08 × 4,894.02
  4. Step 4: Simplify right side
    7,877.93x = 53,203,270.71
  5. Step 5: Solve for x
    x = 53,203,270.71/7,877.93
  6. Step 6: Final answer
    x = 6,753.46

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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.