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Finding the Fourth Proportional to 10,496.88, 14,480.64 and 6,522.66

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Solution

The fourth proportional to 10,496.88, 14,480.64 and 6,522.66 is: 8,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.88 : 14,480.64 = 6,522.66 : x
  2. Step 2: Convert to fraction form
    10,496.88/14,480.64 = 6,522.66/x
  3. Step 3: Cross multiply
    10,496.88x = 14,480.64 × 6,522.66
  4. Step 4: Simplify right side
    10,496.88x = 94,452,291.30
  5. Step 5: Solve for x
    x = 94,452,291.30/10,496.88
  6. Step 6: Final answer
    x = 8,998.13

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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.