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Finding the Fourth Proportional to 10,516.53, 15,772.15 and 3,119.28

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Solution

The fourth proportional to 10,516.53, 15,772.15 and 3,119.28 is: 4,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.53 : 15,772.15 = 3,119.28 : x
  2. Step 2: Convert to fraction form
    10,516.53/15,772.15 = 3,119.28/x
  3. Step 3: Cross multiply
    10,516.53x = 15,772.15 × 3,119.28
  4. Step 4: Simplify right side
    10,516.53x = 49,197,696.81
  5. Step 5: Solve for x
    x = 49,197,696.81/10,516.53
  6. Step 6: Final answer
    x = 4,678.13

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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.