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Finding the Fourth Proportional to 10,617.88, 14,653.80 and 5,902.16

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Solution

The fourth proportional to 10,617.88, 14,653.80 and 5,902.16 is: 8,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.88 : 14,653.80 = 5,902.16 : x
  2. Step 2: Convert to fraction form
    10,617.88/14,653.80 = 5,902.16/x
  3. Step 3: Cross multiply
    10,617.88x = 14,653.80 × 5,902.16
  4. Step 4: Simplify right side
    10,617.88x = 86,489,072.21
  5. Step 5: Solve for x
    x = 86,489,072.21/10,617.88
  6. Step 6: Final answer
    x = 8,145.61

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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.