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Finding the Fourth Proportional to 10,569.60, 14,586.06 and 5,853.92

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Solution

The fourth proportional to 10,569.60, 14,586.06 and 5,853.92 is: 8,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.60 : 14,586.06 = 5,853.92 : x
  2. Step 2: Convert to fraction form
    10,569.60/14,586.06 = 5,853.92/x
  3. Step 3: Cross multiply
    10,569.60x = 14,586.06 × 5,853.92
  4. Step 4: Simplify right side
    10,569.60x = 85,385,555.42
  5. Step 5: Solve for x
    x = 85,385,555.42/10,569.60
  6. Step 6: Final answer
    x = 8,078.41

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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.