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Finding the Fourth Proportional to 7,534.22, 10,397.01 and 4,347.47

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Solution

The fourth proportional to 7,534.22, 10,397.01 and 4,347.47 is: 5,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.22 : 10,397.01 = 4,347.47 : x
  2. Step 2: Convert to fraction form
    7,534.22/10,397.01 = 4,347.47/x
  3. Step 3: Cross multiply
    7,534.22x = 10,397.01 × 4,347.47
  4. Step 4: Simplify right side
    7,534.22x = 45,200,706.91
  5. Step 5: Solve for x
    x = 45,200,706.91/7,534.22
  6. Step 6: Final answer
    x = 5,999.39

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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.