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Finding the Fourth Proportional to 10,464.53, 15,662.61 and 7,690.46

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Solution

The fourth proportional to 10,464.53, 15,662.61 and 7,690.46 is: 11,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.53 : 15,662.61 = 7,690.46 : x
  2. Step 2: Convert to fraction form
    10,464.53/15,662.61 = 7,690.46/x
  3. Step 3: Cross multiply
    10,464.53x = 15,662.61 × 7,690.46
  4. Step 4: Simplify right side
    10,464.53x = 120,452,597.39
  5. Step 5: Solve for x
    x = 120,452,597.39/10,464.53
  6. Step 6: Final answer
    x = 11,510.57

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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.