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Finding the Fourth Proportional to 11,812.02, 16,302.06 and 6,777.06

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Solution

The fourth proportional to 11,812.02, 16,302.06 and 6,777.06 is: 9,353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.02 : 16,302.06 = 6,777.06 : x
  2. Step 2: Convert to fraction form
    11,812.02/16,302.06 = 6,777.06/x
  3. Step 3: Cross multiply
    11,812.02x = 16,302.06 × 6,777.06
  4. Step 4: Simplify right side
    11,812.02x = 110,480,038.74
  5. Step 5: Solve for x
    x = 110,480,038.74/11,812.02
  6. Step 6: Final answer
    x = 9,353.19

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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.