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Finding the Fourth Proportional to 10,702.68, 16,058.54 and 5,766.51

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Solution

The fourth proportional to 10,702.68, 16,058.54 and 5,766.51 is: 8,652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.68 : 16,058.54 = 5,766.51 : x
  2. Step 2: Convert to fraction form
    10,702.68/16,058.54 = 5,766.51/x
  3. Step 3: Cross multiply
    10,702.68x = 16,058.54 × 5,766.51
  4. Step 4: Simplify right side
    10,702.68x = 92,601,683.37
  5. Step 5: Solve for x
    x = 92,601,683.37/10,702.68
  6. Step 6: Final answer
    x = 8,652.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.