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Finding the Fourth Proportional to 7,089.52, 10,634.32 and 2,410

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Solution

The fourth proportional to 7,089.52, 10,634.32 and 2,410 is: 3,615.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.52 : 10,634.32 = 2,410 : x
  2. Step 2: Convert to fraction form
    7,089.52/10,634.32 = 2,410/x
  3. Step 3: Cross multiply
    7,089.52x = 10,634.32 × 2,410
  4. Step 4: Simplify right side
    7,089.52x = 25,628,711.20
  5. Step 5: Solve for x
    x = 25,628,711.20/7,089.52
  6. Step 6: Final answer
    x = 3,615.01

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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.