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Finding the Fourth Proportional to 11,759.44, 17,639.16 and 5,602

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Solution

The fourth proportional to 11,759.44, 17,639.16 and 5,602 is: 8,403.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.44 : 17,639.16 = 5,602 : x
  2. Step 2: Convert to fraction form
    11,759.44/17,639.16 = 5,602/x
  3. Step 3: Cross multiply
    11,759.44x = 17,639.16 × 5,602
  4. Step 4: Simplify right side
    11,759.44x = 98,814,574.32
  5. Step 5: Solve for x
    x = 98,814,574.32/11,759.44
  6. Step 6: Final answer
    x = 8,403.00

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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.