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Finding the Fourth Proportional to 7,643.61, 11,466.44 and 3,025.53

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Solution

The fourth proportional to 7,643.61, 11,466.44 and 3,025.53 is: 4,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.61 : 11,466.44 = 3,025.53 : x
  2. Step 2: Convert to fraction form
    7,643.61/11,466.44 = 3,025.53/x
  3. Step 3: Cross multiply
    7,643.61x = 11,466.44 × 3,025.53
  4. Step 4: Simplify right side
    7,643.61x = 34,692,058.21
  5. Step 5: Solve for x
    x = 34,692,058.21/7,643.61
  6. Step 6: Final answer
    x = 4,538.70

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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.