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Finding the Fourth Proportional to 10,322.87, 15,460.88 and 6,574.66

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Solution

The fourth proportional to 10,322.87, 15,460.88 and 6,574.66 is: 9,847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.87 : 15,460.88 = 6,574.66 : x
  2. Step 2: Convert to fraction form
    10,322.87/15,460.88 = 6,574.66/x
  3. Step 3: Cross multiply
    10,322.87x = 15,460.88 × 6,574.66
  4. Step 4: Simplify right side
    10,322.87x = 101,649,957.78
  5. Step 5: Solve for x
    x = 101,649,957.78/10,322.87
  6. Step 6: Final answer
    x = 9,847.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.