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Finding the Fourth Proportional to 7,997.36, 11,036.10 and 4,461.16

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Solution

The fourth proportional to 7,997.36, 11,036.10 and 4,461.16 is: 6,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.36 : 11,036.10 = 4,461.16 : x
  2. Step 2: Convert to fraction form
    7,997.36/11,036.10 = 4,461.16/x
  3. Step 3: Cross multiply
    7,997.36x = 11,036.10 × 4,461.16
  4. Step 4: Simplify right side
    7,997.36x = 49,233,807.88
  5. Step 5: Solve for x
    x = 49,233,807.88/7,997.36
  6. Step 6: Final answer
    x = 6,156.26

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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.