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Finding the Fourth Proportional to 7,862.81, 10,851.38 and 4,506.71

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Solution

The fourth proportional to 7,862.81, 10,851.38 and 4,506.71 is: 6,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.81 : 10,851.38 = 4,506.71 : x
  2. Step 2: Convert to fraction form
    7,862.81/10,851.38 = 4,506.71/x
  3. Step 3: Cross multiply
    7,862.81x = 10,851.38 × 4,506.71
  4. Step 4: Simplify right side
    7,862.81x = 48,903,945.97
  5. Step 5: Solve for x
    x = 48,903,945.97/7,862.81
  6. Step 6: Final answer
    x = 6,219.66

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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.