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Finding the Fourth Proportional to 10,172.05, 15,258.08 and 6,684.10

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Solution

The fourth proportional to 10,172.05, 15,258.08 and 6,684.10 is: 10,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.05 : 15,258.08 = 6,684.10 : x
  2. Step 2: Convert to fraction form
    10,172.05/15,258.08 = 6,684.10/x
  3. Step 3: Cross multiply
    10,172.05x = 15,258.08 × 6,684.10
  4. Step 4: Simplify right side
    10,172.05x = 101,986,532.53
  5. Step 5: Solve for x
    x = 101,986,532.53/10,172.05
  6. Step 6: Final answer
    x = 10,026.15

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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.