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Finding the Fourth Proportional to 8,307.36, 11,463.84 and 4,581.36

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Solution

The fourth proportional to 8,307.36, 11,463.84 and 4,581.36 is: 6,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.36 : 11,463.84 = 4,581.36 : x
  2. Step 2: Convert to fraction form
    8,307.36/11,463.84 = 4,581.36/x
  3. Step 3: Cross multiply
    8,307.36x = 11,463.84 × 4,581.36
  4. Step 4: Simplify right side
    8,307.36x = 52,519,978.02
  5. Step 5: Solve for x
    x = 52,519,978.02/8,307.36
  6. Step 6: Final answer
    x = 6,322.10

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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.