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Finding the Fourth Proportional to 7,657.52, 10,574.76 and 6,599.48

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Solution

The fourth proportional to 7,657.52, 10,574.76 and 6,599.48 is: 9,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.52 : 10,574.76 = 6,599.48 : x
  2. Step 2: Convert to fraction form
    7,657.52/10,574.76 = 6,599.48/x
  3. Step 3: Cross multiply
    7,657.52x = 10,574.76 × 6,599.48
  4. Step 4: Simplify right side
    7,657.52x = 69,787,917.12
  5. Step 5: Solve for x
    x = 69,787,917.12/7,657.52
  6. Step 6: Final answer
    x = 9,113.64

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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.