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Finding the Fourth Proportional to 10,569.84, 14,586.54 and 5,854.56

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Solution

The fourth proportional to 10,569.84, 14,586.54 and 5,854.56 is: 8,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.84 : 14,586.54 = 5,854.56 : x
  2. Step 2: Convert to fraction form
    10,569.84/14,586.54 = 5,854.56/x
  3. Step 3: Cross multiply
    10,569.84x = 14,586.54 × 5,854.56
  4. Step 4: Simplify right side
    10,569.84x = 85,397,773.62
  5. Step 5: Solve for x
    x = 85,397,773.62/10,569.84
  6. Step 6: Final answer
    x = 8,079.38

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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.