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Finding the Fourth Proportional to 10,569.32, 14,586.09 and 5,853.60

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Solution

The fourth proportional to 10,569.32, 14,586.09 and 5,853.60 is: 8,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.32 : 14,586.09 = 5,853.60 : x
  2. Step 2: Convert to fraction form
    10,569.32/14,586.09 = 5,853.60/x
  3. Step 3: Cross multiply
    10,569.32x = 14,586.09 × 5,853.60
  4. Step 4: Simplify right side
    10,569.32x = 85,381,136.42
  5. Step 5: Solve for x
    x = 85,381,136.42/10,569.32
  6. Step 6: Final answer
    x = 8,078.21

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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.