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Finding the Fourth Proportional to 8,154.17, 11,254.39 and 5,322.00

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Solution

The fourth proportional to 8,154.17, 11,254.39 and 5,322.00 is: 7,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.17 : 11,254.39 = 5,322.00 : x
  2. Step 2: Convert to fraction form
    8,154.17/11,254.39 = 5,322.00/x
  3. Step 3: Cross multiply
    8,154.17x = 11,254.39 × 5,322.00
  4. Step 4: Simplify right side
    8,154.17x = 59,895,922.42
  5. Step 5: Solve for x
    x = 59,895,922.42/8,154.17
  6. Step 6: Final answer
    x = 7,345.44

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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.