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Finding the Fourth Proportional to 10,604.16, 15,904.08 and 4,028.04

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Solution

The fourth proportional to 10,604.16, 15,904.08 and 4,028.04 is: 6,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.16 : 15,904.08 = 4,028.04 : x
  2. Step 2: Convert to fraction form
    10,604.16/15,904.08 = 4,028.04/x
  3. Step 3: Cross multiply
    10,604.16x = 15,904.08 × 4,028.04
  4. Step 4: Simplify right side
    10,604.16x = 64,062,270.40
  5. Step 5: Solve for x
    x = 64,062,270.40/10,604.16
  6. Step 6: Final answer
    x = 6,041.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.