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Finding the Fourth Proportional to 10,710.73, 14,780.27 and 6,234.17

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Solution

The fourth proportional to 10,710.73, 14,780.27 and 6,234.17 is: 8,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.73 : 14,780.27 = 6,234.17 : x
  2. Step 2: Convert to fraction form
    10,710.73/14,780.27 = 6,234.17/x
  3. Step 3: Cross multiply
    10,710.73x = 14,780.27 × 6,234.17
  4. Step 4: Simplify right side
    10,710.73x = 92,142,657.51
  5. Step 5: Solve for x
    x = 92,142,657.51/10,710.73
  6. Step 6: Final answer
    x = 8,602.84

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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.