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Finding the Fourth Proportional to 10,568.71, 14,585.28 and 5,852.99

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Solution

The fourth proportional to 10,568.71, 14,585.28 and 5,852.99 is: 8,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.71 : 14,585.28 = 5,852.99 : x
  2. Step 2: Convert to fraction form
    10,568.71/14,585.28 = 5,852.99/x
  3. Step 3: Cross multiply
    10,568.71x = 14,585.28 × 5,852.99
  4. Step 4: Simplify right side
    10,568.71x = 85,367,545.42
  5. Step 5: Solve for x
    x = 85,367,545.42/10,568.71
  6. Step 6: Final answer
    x = 8,077.38

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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.