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Finding the Fourth Proportional to 7,634.99, 10,530.91 and 6,497.75

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Solution

The fourth proportional to 7,634.99, 10,530.91 and 6,497.75 is: 8,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.99 : 10,530.91 = 6,497.75 : x
  2. Step 2: Convert to fraction form
    7,634.99/10,530.91 = 6,497.75/x
  3. Step 3: Cross multiply
    7,634.99x = 10,530.91 × 6,497.75
  4. Step 4: Simplify right side
    7,634.99x = 68,427,254.90
  5. Step 5: Solve for x
    x = 68,427,254.90/7,634.99
  6. Step 6: Final answer
    x = 8,962.32

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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.