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Finding the Fourth Proportional to 7,215.40, 9,955.78 and 4,070.44

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Solution

The fourth proportional to 7,215.40, 9,955.78 and 4,070.44 is: 5,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.40 : 9,955.78 = 4,070.44 : x
  2. Step 2: Convert to fraction form
    7,215.40/9,955.78 = 4,070.44/x
  3. Step 3: Cross multiply
    7,215.40x = 9,955.78 × 4,070.44
  4. Step 4: Simplify right side
    7,215.40x = 40,524,405.14
  5. Step 5: Solve for x
    x = 40,524,405.14/7,215.40
  6. Step 6: Final answer
    x = 5,616.38

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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.