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Finding the Fourth Proportional to 11,970.25, 17,957.32 and 3,537.61

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Solution

The fourth proportional to 11,970.25, 17,957.32 and 3,537.61 is: 5,306.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.25 : 17,957.32 = 3,537.61 : x
  2. Step 2: Convert to fraction form
    11,970.25/17,957.32 = 3,537.61/x
  3. Step 3: Cross multiply
    11,970.25x = 17,957.32 × 3,537.61
  4. Step 4: Simplify right side
    11,970.25x = 63,525,994.81
  5. Step 5: Solve for x
    x = 63,525,994.81/11,970.25
  6. Step 6: Final answer
    x = 5,306.99

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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.