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Finding the Fourth Proportional to 10,436.25, 15,656.84 and 3,416.25

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Solution

The fourth proportional to 10,436.25, 15,656.84 and 3,416.25 is: 5,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.25 : 15,656.84 = 3,416.25 : x
  2. Step 2: Convert to fraction form
    10,436.25/15,656.84 = 3,416.25/x
  3. Step 3: Cross multiply
    10,436.25x = 15,656.84 × 3,416.25
  4. Step 4: Simplify right side
    10,436.25x = 53,487,679.65
  5. Step 5: Solve for x
    x = 53,487,679.65/10,436.25
  6. Step 6: Final answer
    x = 5,125.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.