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Finding the Fourth Proportional to 10,854.54, 16,282.04 and 3,459.02

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Solution

The fourth proportional to 10,854.54, 16,282.04 and 3,459.02 is: 5,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.54 : 16,282.04 = 3,459.02 : x
  2. Step 2: Convert to fraction form
    10,854.54/16,282.04 = 3,459.02/x
  3. Step 3: Cross multiply
    10,854.54x = 16,282.04 × 3,459.02
  4. Step 4: Simplify right side
    10,854.54x = 56,319,803.30
  5. Step 5: Solve for x
    x = 56,319,803.30/10,854.54
  6. Step 6: Final answer
    x = 5,188.59

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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.