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Finding the Fourth Proportional to 7,214.07, 9,955.38 and 4,070.23

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Solution

The fourth proportional to 7,214.07, 9,955.38 and 4,070.23 is: 5,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.07 : 9,955.38 = 4,070.23 : x
  2. Step 2: Convert to fraction form
    7,214.07/9,955.38 = 4,070.23/x
  3. Step 3: Cross multiply
    7,214.07x = 9,955.38 × 4,070.23
  4. Step 4: Simplify right side
    7,214.07x = 40,520,686.34
  5. Step 5: Solve for x
    x = 40,520,686.34/7,214.07
  6. Step 6: Final answer
    x = 5,616.90

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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.