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Finding the Fourth Proportional to 11,465.68, 15,824.20 and 6,498

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Solution

The fourth proportional to 11,465.68, 15,824.20 and 6,498 is: 8,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.68 : 15,824.20 = 6,498 : x
  2. Step 2: Convert to fraction form
    11,465.68/15,824.20 = 6,498/x
  3. Step 3: Cross multiply
    11,465.68x = 15,824.20 × 6,498
  4. Step 4: Simplify right side
    11,465.68x = 102,825,651.60
  5. Step 5: Solve for x
    x = 102,825,651.60/11,465.68
  6. Step 6: Final answer
    x = 8,968.13

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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.