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Finding the Fourth Proportional to 7,089.30, 10,627.09 and 3,970.82

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Solution

The fourth proportional to 7,089.30, 10,627.09 and 3,970.82 is: 5,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.30 : 10,627.09 = 3,970.82 : x
  2. Step 2: Convert to fraction form
    7,089.30/10,627.09 = 3,970.82/x
  3. Step 3: Cross multiply
    7,089.30x = 10,627.09 × 3,970.82
  4. Step 4: Simplify right side
    7,089.30x = 42,198,261.51
  5. Step 5: Solve for x
    x = 42,198,261.51/7,089.30
  6. Step 6: Final answer
    x = 5,952.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.