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Finding the Fourth Proportional to 10,569.74, 14,586.69 and 5,854.02

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Solution

The fourth proportional to 10,569.74, 14,586.69 and 5,854.02 is: 8,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.74 : 14,586.69 = 5,854.02 : x
  2. Step 2: Convert to fraction form
    10,569.74/14,586.69 = 5,854.02/x
  3. Step 3: Cross multiply
    10,569.74x = 14,586.69 × 5,854.02
  4. Step 4: Simplify right side
    10,569.74x = 85,390,702.06
  5. Step 5: Solve for x
    x = 85,390,702.06/10,569.74
  6. Step 6: Final answer
    x = 8,078.79

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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.