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Finding the Fourth Proportional to 7,015.01, 10,509.76 and 4,084.43

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Solution

The fourth proportional to 7,015.01, 10,509.76 and 4,084.43 is: 6,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.01 : 10,509.76 = 4,084.43 : x
  2. Step 2: Convert to fraction form
    7,015.01/10,509.76 = 4,084.43/x
  3. Step 3: Cross multiply
    7,015.01x = 10,509.76 × 4,084.43
  4. Step 4: Simplify right side
    7,015.01x = 42,926,395.10
  5. Step 5: Solve for x
    x = 42,926,395.10/7,015.01
  6. Step 6: Final answer
    x = 6,119.22

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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.