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Finding the Fourth Proportional to 10,618.32, 14,653.31 and 5,902.62

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Solution

The fourth proportional to 10,618.32, 14,653.31 and 5,902.62 is: 8,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.32 : 14,653.31 = 5,902.62 : x
  2. Step 2: Convert to fraction form
    10,618.32/14,653.31 = 5,902.62/x
  3. Step 3: Cross multiply
    10,618.32x = 14,653.31 × 5,902.62
  4. Step 4: Simplify right side
    10,618.32x = 86,492,920.67
  5. Step 5: Solve for x
    x = 86,492,920.67/10,618.32
  6. Step 6: Final answer
    x = 8,145.63

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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.