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Finding the Fourth Proportional to 10,206.19, 14,084.17 and 5,730.19

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Solution

The fourth proportional to 10,206.19, 14,084.17 and 5,730.19 is: 7,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.19 : 14,084.17 = 5,730.19 : x
  2. Step 2: Convert to fraction form
    10,206.19/14,084.17 = 5,730.19/x
  3. Step 3: Cross multiply
    10,206.19x = 14,084.17 × 5,730.19
  4. Step 4: Simplify right side
    10,206.19x = 80,704,970.09
  5. Step 5: Solve for x
    x = 80,704,970.09/10,206.19
  6. Step 6: Final answer
    x = 7,907.45

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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.