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Finding the Fourth Proportional to 7,866, 10,856.04 and 4,554

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Solution

The fourth proportional to 7,866, 10,856.04 and 4,554 is: 6,285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866 : 10,856.04 = 4,554 : x
  2. Step 2: Convert to fraction form
    7,866/10,856.04 = 4,554/x
  3. Step 3: Cross multiply
    7,866x = 10,856.04 × 4,554
  4. Step 4: Simplify right side
    7,866x = 49,438,406.16
  5. Step 5: Solve for x
    x = 49,438,406.16/7,866
  6. Step 6: Final answer
    x = 6,285.08

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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.