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Finding the Fourth Proportional to 7,643.10, 11,455.08 and 4,132.98

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Solution

The fourth proportional to 7,643.10, 11,455.08 and 4,132.98 is: 6,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.10 : 11,455.08 = 4,132.98 : x
  2. Step 2: Convert to fraction form
    7,643.10/11,455.08 = 4,132.98/x
  3. Step 3: Cross multiply
    7,643.10x = 11,455.08 × 4,132.98
  4. Step 4: Simplify right side
    7,643.10x = 47,343,616.54
  5. Step 5: Solve for x
    x = 47,343,616.54/7,643.10
  6. Step 6: Final answer
    x = 6,194.30

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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.