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Finding the Fourth Proportional to 7,108.52, 9,810.43 and 4,084.07

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Solution

The fourth proportional to 7,108.52, 9,810.43 and 4,084.07 is: 5,636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.52 : 9,810.43 = 4,084.07 : x
  2. Step 2: Convert to fraction form
    7,108.52/9,810.43 = 4,084.07/x
  3. Step 3: Cross multiply
    7,108.52x = 9,810.43 × 4,084.07
  4. Step 4: Simplify right side
    7,108.52x = 40,066,497.17
  5. Step 5: Solve for x
    x = 40,066,497.17/7,108.52
  6. Step 6: Final answer
    x = 5,636.40

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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.