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Finding the Fourth Proportional to 6,261.76, 8,642.40 and 4,474.08

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Solution

The fourth proportional to 6,261.76, 8,642.40 and 4,474.08 is: 6,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.76 : 8,642.40 = 4,474.08 : x
  2. Step 2: Convert to fraction form
    6,261.76/8,642.40 = 4,474.08/x
  3. Step 3: Cross multiply
    6,261.76x = 8,642.40 × 4,474.08
  4. Step 4: Simplify right side
    6,261.76x = 38,666,788.99
  5. Step 5: Solve for x
    x = 38,666,788.99/6,261.76
  6. Step 6: Final answer
    x = 6,175.07

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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.