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Finding the Fourth Proportional to 11,482.40, 15,839.71 and 7,225.43

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Solution

The fourth proportional to 11,482.40, 15,839.71 and 7,225.43 is: 9,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.40 : 15,839.71 = 7,225.43 : x
  2. Step 2: Convert to fraction form
    11,482.40/15,839.71 = 7,225.43/x
  3. Step 3: Cross multiply
    11,482.40x = 15,839.71 × 7,225.43
  4. Step 4: Simplify right side
    11,482.40x = 114,448,618.56
  5. Step 5: Solve for x
    x = 114,448,618.56/11,482.40
  6. Step 6: Final answer
    x = 9,967.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.