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Finding the Fourth Proportional to 10,569.79, 14,586.10 and 5,854.11

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Solution

The fourth proportional to 10,569.79, 14,586.10 and 5,854.11 is: 8,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.79 : 14,586.10 = 5,854.11 : x
  2. Step 2: Convert to fraction form
    10,569.79/14,586.10 = 5,854.11/x
  3. Step 3: Cross multiply
    10,569.79x = 14,586.10 × 5,854.11
  4. Step 4: Simplify right side
    10,569.79x = 85,388,633.87
  5. Step 5: Solve for x
    x = 85,388,633.87/10,569.79
  6. Step 6: Final answer
    x = 8,078.56

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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.