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Finding the Fourth Proportional to 8,702.78, 13,054.91 and 2,780.51

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Solution

The fourth proportional to 8,702.78, 13,054.91 and 2,780.51 is: 4,170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.78 : 13,054.91 = 2,780.51 : x
  2. Step 2: Convert to fraction form
    8,702.78/13,054.91 = 2,780.51/x
  3. Step 3: Cross multiply
    8,702.78x = 13,054.91 × 2,780.51
  4. Step 4: Simplify right side
    8,702.78x = 36,299,228.63
  5. Step 5: Solve for x
    x = 36,299,228.63/8,702.78
  6. Step 6: Final answer
    x = 4,170.99

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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.