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Finding the Fourth Proportional to 10,056.99, 13,875.06 and 6,278.73

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Solution

The fourth proportional to 10,056.99, 13,875.06 and 6,278.73 is: 8,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.99 : 13,875.06 = 6,278.73 : x
  2. Step 2: Convert to fraction form
    10,056.99/13,875.06 = 6,278.73/x
  3. Step 3: Cross multiply
    10,056.99x = 13,875.06 × 6,278.73
  4. Step 4: Simplify right side
    10,056.99x = 87,117,755.47
  5. Step 5: Solve for x
    x = 87,117,755.47/10,056.99
  6. Step 6: Final answer
    x = 8,662.41

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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.