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Finding the Fourth Proportional to 7,504.88, 10,356.63 and 4,148.06

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Solution

The fourth proportional to 7,504.88, 10,356.63 and 4,148.06 is: 5,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.88 : 10,356.63 = 4,148.06 : x
  2. Step 2: Convert to fraction form
    7,504.88/10,356.63 = 4,148.06/x
  3. Step 3: Cross multiply
    7,504.88x = 10,356.63 × 4,148.06
  4. Step 4: Simplify right side
    7,504.88x = 42,959,922.64
  5. Step 5: Solve for x
    x = 42,959,922.64/7,504.88
  6. Step 6: Final answer
    x = 5,724.27

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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.