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Finding the Fourth Proportional to 7,642.08, 11,452.88 and 6,290.40

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Solution

The fourth proportional to 7,642.08, 11,452.88 and 6,290.40 is: 9,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.08 : 11,452.88 = 6,290.40 : x
  2. Step 2: Convert to fraction form
    7,642.08/11,452.88 = 6,290.40/x
  3. Step 3: Cross multiply
    7,642.08x = 11,452.88 × 6,290.40
  4. Step 4: Simplify right side
    7,642.08x = 72,043,196.35
  5. Step 5: Solve for x
    x = 72,043,196.35/7,642.08
  6. Step 6: Final answer
    x = 9,427.17

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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.