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Finding the Fourth Proportional to 7,855.17, 10,833.99 and 4,869.32

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Solution

The fourth proportional to 7,855.17, 10,833.99 and 4,869.32 is: 6,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.17 : 10,833.99 = 4,869.32 : x
  2. Step 2: Convert to fraction form
    7,855.17/10,833.99 = 4,869.32/x
  3. Step 3: Cross multiply
    7,855.17x = 10,833.99 × 4,869.32
  4. Step 4: Simplify right side
    7,855.17x = 52,754,110.02
  5. Step 5: Solve for x
    x = 52,754,110.02/7,855.17
  6. Step 6: Final answer
    x = 6,715.85

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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.