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Finding the Fourth Proportional to 10,569.56, 14,586.44 and 5,853.84

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Solution

The fourth proportional to 10,569.56, 14,586.44 and 5,853.84 is: 8,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.56 : 14,586.44 = 5,853.84 : x
  2. Step 2: Convert to fraction form
    10,569.56/14,586.44 = 5,853.84/x
  3. Step 3: Cross multiply
    10,569.56x = 14,586.44 × 5,853.84
  4. Step 4: Simplify right side
    10,569.56x = 85,386,685.93
  5. Step 5: Solve for x
    x = 85,386,685.93/10,569.56
  6. Step 6: Final answer
    x = 8,078.55

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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.