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Finding the Fourth Proportional to 7,001.34, 9,661.10 and 4,017.11

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Solution

The fourth proportional to 7,001.34, 9,661.10 and 4,017.11 is: 5,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.34 : 9,661.10 = 4,017.11 : x
  2. Step 2: Convert to fraction form
    7,001.34/9,661.10 = 4,017.11/x
  3. Step 3: Cross multiply
    7,001.34x = 9,661.10 × 4,017.11
  4. Step 4: Simplify right side
    7,001.34x = 38,809,633.03
  5. Step 5: Solve for x
    x = 38,809,633.03/7,001.34
  6. Step 6: Final answer
    x = 5,543.17

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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.