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Finding the Fourth Proportional to 10,937.67, 16,406.51 and 4,365.33

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Solution

The fourth proportional to 10,937.67, 16,406.51 and 4,365.33 is: 6,548.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.67 : 16,406.51 = 4,365.33 : x
  2. Step 2: Convert to fraction form
    10,937.67/16,406.51 = 4,365.33/x
  3. Step 3: Cross multiply
    10,937.67x = 16,406.51 × 4,365.33
  4. Step 4: Simplify right side
    10,937.67x = 71,619,808.47
  5. Step 5: Solve for x
    x = 71,619,808.47/10,937.67
  6. Step 6: Final answer
    x = 6,548.00

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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.