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Finding the Fourth Proportional to 7,639.74, 11,459.83 and 3,477.60

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Solution

The fourth proportional to 7,639.74, 11,459.83 and 3,477.60 is: 5,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.74 : 11,459.83 = 3,477.60 : x
  2. Step 2: Convert to fraction form
    7,639.74/11,459.83 = 3,477.60/x
  3. Step 3: Cross multiply
    7,639.74x = 11,459.83 × 3,477.60
  4. Step 4: Simplify right side
    7,639.74x = 39,852,696.11
  5. Step 5: Solve for x
    x = 39,852,696.11/7,639.74
  6. Step 6: Final answer
    x = 5,216.50

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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.