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Finding the Fourth Proportional to 10,617.84, 15,927.06 and 2,826.66

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Solution

The fourth proportional to 10,617.84, 15,927.06 and 2,826.66 is: 4,240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.84 : 15,927.06 = 2,826.66 : x
  2. Step 2: Convert to fraction form
    10,617.84/15,927.06 = 2,826.66/x
  3. Step 3: Cross multiply
    10,617.84x = 15,927.06 × 2,826.66
  4. Step 4: Simplify right side
    10,617.84x = 45,020,383.42
  5. Step 5: Solve for x
    x = 45,020,383.42/10,617.84
  6. Step 6: Final answer
    x = 4,240.07

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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.