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Finding the Fourth Proportional to 7,571.52, 10,458.72 and 6,316.74

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Solution

The fourth proportional to 7,571.52, 10,458.72 and 6,316.74 is: 8,725.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.52 : 10,458.72 = 6,316.74 : x
  2. Step 2: Convert to fraction form
    7,571.52/10,458.72 = 6,316.74/x
  3. Step 3: Cross multiply
    7,571.52x = 10,458.72 × 6,316.74
  4. Step 4: Simplify right side
    7,571.52x = 66,065,014.97
  5. Step 5: Solve for x
    x = 66,065,014.97/7,571.52
  6. Step 6: Final answer
    x = 8,725.46

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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.