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Finding the Fourth Proportional to 7,869.95, 10,864.55 and 6,073.40

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Solution

The fourth proportional to 7,869.95, 10,864.55 and 6,073.40 is: 8,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.95 : 10,864.55 = 6,073.40 : x
  2. Step 2: Convert to fraction form
    7,869.95/10,864.55 = 6,073.40/x
  3. Step 3: Cross multiply
    7,869.95x = 10,864.55 × 6,073.40
  4. Step 4: Simplify right side
    7,869.95x = 65,984,673.28
  5. Step 5: Solve for x
    x = 65,984,673.28/7,869.95
  6. Step 6: Final answer
    x = 8,384.39

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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.