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Finding the Fourth Proportional to 10,702.23, 16,053.36 and 5,774.19

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Solution

The fourth proportional to 10,702.23, 16,053.36 and 5,774.19 is: 8,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.23 : 16,053.36 = 5,774.19 : x
  2. Step 2: Convert to fraction form
    10,702.23/16,053.36 = 5,774.19/x
  3. Step 3: Cross multiply
    10,702.23x = 16,053.36 × 5,774.19
  4. Step 4: Simplify right side
    10,702.23x = 92,695,150.78
  5. Step 5: Solve for x
    x = 92,695,150.78/10,702.23
  6. Step 6: Final answer
    x = 8,661.29

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