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Finding the Fourth Proportional to 10,185.57, 15,283.62 and 4,340.61

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Solution

The fourth proportional to 10,185.57, 15,283.62 and 4,340.61 is: 6,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.57 : 15,283.62 = 4,340.61 : x
  2. Step 2: Convert to fraction form
    10,185.57/15,283.62 = 4,340.61/x
  3. Step 3: Cross multiply
    10,185.57x = 15,283.62 × 4,340.61
  4. Step 4: Simplify right side
    10,185.57x = 66,340,233.81
  5. Step 5: Solve for x
    x = 66,340,233.81/10,185.57
  6. Step 6: Final answer
    x = 6,513.16

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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.