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Finding the Fourth Proportional to 10,722.85, 16,066.49 and 7,587.31

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Solution

The fourth proportional to 10,722.85, 16,066.49 and 7,587.31 is: 11,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.85 : 16,066.49 = 7,587.31 : x
  2. Step 2: Convert to fraction form
    10,722.85/16,066.49 = 7,587.31/x
  3. Step 3: Cross multiply
    10,722.85x = 16,066.49 × 7,587.31
  4. Step 4: Simplify right side
    10,722.85x = 121,901,450.84
  5. Step 5: Solve for x
    x = 121,901,450.84/10,722.85
  6. Step 6: Final answer
    x = 11,368.38

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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.