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Finding the Fourth Proportional to 10,078.16, 15,124.12 and 3,504.28

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Solution

The fourth proportional to 10,078.16, 15,124.12 and 3,504.28 is: 5,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.16 : 15,124.12 = 3,504.28 : x
  2. Step 2: Convert to fraction form
    10,078.16/15,124.12 = 3,504.28/x
  3. Step 3: Cross multiply
    10,078.16x = 15,124.12 × 3,504.28
  4. Step 4: Simplify right side
    10,078.16x = 52,999,151.23
  5. Step 5: Solve for x
    x = 52,999,151.23/10,078.16
  6. Step 6: Final answer
    x = 5,258.81

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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.