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Finding the Fourth Proportional to 6,509.53, 8,983.61 and 3,715.03

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Solution

The fourth proportional to 6,509.53, 8,983.61 and 3,715.03 is: 5,127.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.53 : 8,983.61 = 3,715.03 : x
  2. Step 2: Convert to fraction form
    6,509.53/8,983.61 = 3,715.03/x
  3. Step 3: Cross multiply
    6,509.53x = 8,983.61 × 3,715.03
  4. Step 4: Simplify right side
    6,509.53x = 33,374,380.66
  5. Step 5: Solve for x
    x = 33,374,380.66/6,509.53
  6. Step 6: Final answer
    x = 5,127.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.