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Finding the Fourth Proportional to 10,093.80, 15,142.32 and 4,549.08

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Solution

The fourth proportional to 10,093.80, 15,142.32 and 4,549.08 is: 6,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.80 : 15,142.32 = 4,549.08 : x
  2. Step 2: Convert to fraction form
    10,093.80/15,142.32 = 4,549.08/x
  3. Step 3: Cross multiply
    10,093.80x = 15,142.32 × 4,549.08
  4. Step 4: Simplify right side
    10,093.80x = 68,883,625.07
  5. Step 5: Solve for x
    x = 68,883,625.07/10,093.80
  6. Step 6: Final answer
    x = 6,824.35

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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.