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Finding the Fourth Proportional to 8,282.64, 11,417.08 and 5,625.36

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Solution

The fourth proportional to 8,282.64, 11,417.08 and 5,625.36 is: 7,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.64 : 11,417.08 = 5,625.36 : x
  2. Step 2: Convert to fraction form
    8,282.64/11,417.08 = 5,625.36/x
  3. Step 3: Cross multiply
    8,282.64x = 11,417.08 × 5,625.36
  4. Step 4: Simplify right side
    8,282.64x = 64,225,185.15
  5. Step 5: Solve for x
    x = 64,225,185.15/8,282.64
  6. Step 6: Final answer
    x = 7,754.19

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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.