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Finding the Fourth Proportional to 7,055.16, 9,736.02 and 3,911.28

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Solution

The fourth proportional to 7,055.16, 9,736.02 and 3,911.28 is: 5,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.16 : 9,736.02 = 3,911.28 : x
  2. Step 2: Convert to fraction form
    7,055.16/9,736.02 = 3,911.28/x
  3. Step 3: Cross multiply
    7,055.16x = 9,736.02 × 3,911.28
  4. Step 4: Simplify right side
    7,055.16x = 38,080,300.31
  5. Step 5: Solve for x
    x = 38,080,300.31/7,055.16
  6. Step 6: Final answer
    x = 5,397.51

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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.