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Finding the Fourth Proportional to 7,643.16, 11,465.10 and 2,449.08

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Solution

The fourth proportional to 7,643.16, 11,465.10 and 2,449.08 is: 3,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.16 : 11,465.10 = 2,449.08 : x
  2. Step 2: Convert to fraction form
    7,643.16/11,465.10 = 2,449.08/x
  3. Step 3: Cross multiply
    7,643.16x = 11,465.10 × 2,449.08
  4. Step 4: Simplify right side
    7,643.16x = 28,078,947.11
  5. Step 5: Solve for x
    x = 28,078,947.11/7,643.16
  6. Step 6: Final answer
    x = 3,673.74

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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.