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Finding the Fourth Proportional to 10,782.78, 14,879.56 and 6,306.26

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Solution

The fourth proportional to 10,782.78, 14,879.56 and 6,306.26 is: 8,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.78 : 14,879.56 = 6,306.26 : x
  2. Step 2: Convert to fraction form
    10,782.78/14,879.56 = 6,306.26/x
  3. Step 3: Cross multiply
    10,782.78x = 14,879.56 × 6,306.26
  4. Step 4: Simplify right side
    10,782.78x = 93,834,374.05
  5. Step 5: Solve for x
    x = 93,834,374.05/10,782.78
  6. Step 6: Final answer
    x = 8,702.24

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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.