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Finding the Fourth Proportional to 10,082.88, 15,056.37 and 8,237.64

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Solution

The fourth proportional to 10,082.88, 15,056.37 and 8,237.64 is: 12,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.88 : 15,056.37 = 8,237.64 : x
  2. Step 2: Convert to fraction form
    10,082.88/15,056.37 = 8,237.64/x
  3. Step 3: Cross multiply
    10,082.88x = 15,056.37 × 8,237.64
  4. Step 4: Simplify right side
    10,082.88x = 124,028,955.77
  5. Step 5: Solve for x
    x = 124,028,955.77/10,082.88
  6. Step 6: Final answer
    x = 12,300.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.