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Finding the Fourth Proportional to 6,886.56, 10,334.24 and 2,503.60

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Solution

The fourth proportional to 6,886.56, 10,334.24 and 2,503.60 is: 3,757.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.56 : 10,334.24 = 2,503.60 : x
  2. Step 2: Convert to fraction form
    6,886.56/10,334.24 = 2,503.60/x
  3. Step 3: Cross multiply
    6,886.56x = 10,334.24 × 2,503.60
  4. Step 4: Simplify right side
    6,886.56x = 25,872,803.26
  5. Step 5: Solve for x
    x = 25,872,803.26/6,886.56
  6. Step 6: Final answer
    x = 3,757.00

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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.