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Finding the Fourth Proportional to 7,904.16, 10,913.04 and 4,921.20

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Solution

The fourth proportional to 7,904.16, 10,913.04 and 4,921.20 is: 6,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.16 : 10,913.04 = 4,921.20 : x
  2. Step 2: Convert to fraction form
    7,904.16/10,913.04 = 4,921.20/x
  3. Step 3: Cross multiply
    7,904.16x = 10,913.04 × 4,921.20
  4. Step 4: Simplify right side
    7,904.16x = 53,705,252.45
  5. Step 5: Solve for x
    x = 53,705,252.45/7,904.16
  6. Step 6: Final answer
    x = 6,794.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.