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Finding the Fourth Proportional to 7,232.51, 9,975.62 and 5,534.84

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Solution

The fourth proportional to 7,232.51, 9,975.62 and 5,534.84 is: 7,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.51 : 9,975.62 = 5,534.84 : x
  2. Step 2: Convert to fraction form
    7,232.51/9,975.62 = 5,534.84/x
  3. Step 3: Cross multiply
    7,232.51x = 9,975.62 × 5,534.84
  4. Step 4: Simplify right side
    7,232.51x = 55,213,432.93
  5. Step 5: Solve for x
    x = 55,213,432.93/7,232.51
  6. Step 6: Final answer
    x = 7,634.06

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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.