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Finding the Fourth Proportional to 7,605.66, 11,410.32 and 2,411.53

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Solution

The fourth proportional to 7,605.66, 11,410.32 and 2,411.53 is: 3,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.66 : 11,410.32 = 2,411.53 : x
  2. Step 2: Convert to fraction form
    7,605.66/11,410.32 = 2,411.53/x
  3. Step 3: Cross multiply
    7,605.66x = 11,410.32 × 2,411.53
  4. Step 4: Simplify right side
    7,605.66x = 27,516,328.99
  5. Step 5: Solve for x
    x = 27,516,328.99/7,605.66
  6. Step 6: Final answer
    x = 3,617.88

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Why These Related Problems?

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