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Finding the Fourth Proportional to 7,539.14, 10,404.70 and 4,353.06

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Solution

The fourth proportional to 7,539.14, 10,404.70 and 4,353.06 is: 6,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.14 : 10,404.70 = 4,353.06 : x
  2. Step 2: Convert to fraction form
    7,539.14/10,404.70 = 4,353.06/x
  3. Step 3: Cross multiply
    7,539.14x = 10,404.70 × 4,353.06
  4. Step 4: Simplify right side
    7,539.14x = 45,292,283.38
  5. Step 5: Solve for x
    x = 45,292,283.38/7,539.14
  6. Step 6: Final answer
    x = 6,007.62

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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.