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Finding the Fourth Proportional to 10,807.39, 16,212.75 and 4,567.42

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Solution

The fourth proportional to 10,807.39, 16,212.75 and 4,567.42 is: 6,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.39 : 16,212.75 = 4,567.42 : x
  2. Step 2: Convert to fraction form
    10,807.39/16,212.75 = 4,567.42/x
  3. Step 3: Cross multiply
    10,807.39x = 16,212.75 × 4,567.42
  4. Step 4: Simplify right side
    10,807.39x = 74,050,525.88
  5. Step 5: Solve for x
    x = 74,050,525.88/10,807.39
  6. Step 6: Final answer
    x = 6,851.84

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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.