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Finding the Fourth Proportional to 8,282.71, 11,428.16 and 5,598.93

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Solution

The fourth proportional to 8,282.71, 11,428.16 and 5,598.93 is: 7,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.71 : 11,428.16 = 5,598.93 : x
  2. Step 2: Convert to fraction form
    8,282.71/11,428.16 = 5,598.93/x
  3. Step 3: Cross multiply
    8,282.71x = 11,428.16 × 5,598.93
  4. Step 4: Simplify right side
    8,282.71x = 63,985,467.87
  5. Step 5: Solve for x
    x = 63,985,467.87/8,282.71
  6. Step 6: Final answer
    x = 7,725.19

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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.