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Finding the Fourth Proportional to 10,245.13, 14,117.49 and 7,855.16

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Solution

The fourth proportional to 10,245.13, 14,117.49 and 7,855.16 is: 10,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.13 : 14,117.49 = 7,855.16 : x
  2. Step 2: Convert to fraction form
    10,245.13/14,117.49 = 7,855.16/x
  3. Step 3: Cross multiply
    10,245.13x = 14,117.49 × 7,855.16
  4. Step 4: Simplify right side
    10,245.13x = 110,895,072.16
  5. Step 5: Solve for x
    x = 110,895,072.16/10,245.13
  6. Step 6: Final answer
    x = 10,824.18

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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.