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Finding the Fourth Proportional to 11,644.04, 16,066.34 and 7,616.76

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Solution

The fourth proportional to 11,644.04, 16,066.34 and 7,616.76 is: 10,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.04 : 16,066.34 = 7,616.76 : x
  2. Step 2: Convert to fraction form
    11,644.04/16,066.34 = 7,616.76/x
  3. Step 3: Cross multiply
    11,644.04x = 16,066.34 × 7,616.76
  4. Step 4: Simplify right side
    11,644.04x = 122,373,417.77
  5. Step 5: Solve for x
    x = 122,373,417.77/11,644.04
  6. Step 6: Final answer
    x = 10,509.54

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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.