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Finding the Fourth Proportional to 10,569.88, 14,586.69 and 5,854.51

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Solution

The fourth proportional to 10,569.88, 14,586.69 and 5,854.51 is: 8,079.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.88 : 14,586.69 = 5,854.51 : x
  2. Step 2: Convert to fraction form
    10,569.88/14,586.69 = 5,854.51/x
  3. Step 3: Cross multiply
    10,569.88x = 14,586.69 × 5,854.51
  4. Step 4: Simplify right side
    10,569.88x = 85,397,922.47
  5. Step 5: Solve for x
    x = 85,397,922.47/10,569.88
  6. Step 6: Final answer
    x = 8,079.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.