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Finding the Fourth Proportional to 7,862.11, 10,849.72 and 4,504.99

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Solution

The fourth proportional to 7,862.11, 10,849.72 and 4,504.99 is: 6,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.11 : 10,849.72 = 4,504.99 : x
  2. Step 2: Convert to fraction form
    7,862.11/10,849.72 = 4,504.99/x
  3. Step 3: Cross multiply
    7,862.11x = 10,849.72 × 4,504.99
  4. Step 4: Simplify right side
    7,862.11x = 48,877,913.69
  5. Step 5: Solve for x
    x = 48,877,913.69/7,862.11
  6. Step 6: Final answer
    x = 6,216.89

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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.