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Finding the Fourth Proportional to 10,084.10, 13,900.82 and 7,095.20

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Solution

The fourth proportional to 10,084.10, 13,900.82 and 7,095.20 is: 9,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.10 : 13,900.82 = 7,095.20 : x
  2. Step 2: Convert to fraction form
    10,084.10/13,900.82 = 7,095.20/x
  3. Step 3: Cross multiply
    10,084.10x = 13,900.82 × 7,095.20
  4. Step 4: Simplify right side
    10,084.10x = 98,628,993.08
  5. Step 5: Solve for x
    x = 98,628,993.08/10,084.10
  6. Step 6: Final answer
    x = 9,780.65

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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.