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Finding the Fourth Proportional to 10,039.82, 15,028.16 and 6,901.47

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Solution

The fourth proportional to 10,039.82, 15,028.16 and 6,901.47 is: 10,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.82 : 15,028.16 = 6,901.47 : x
  2. Step 2: Convert to fraction form
    10,039.82/15,028.16 = 6,901.47/x
  3. Step 3: Cross multiply
    10,039.82x = 15,028.16 × 6,901.47
  4. Step 4: Simplify right side
    10,039.82x = 103,716,360.89
  5. Step 5: Solve for x
    x = 103,716,360.89/10,039.82
  6. Step 6: Final answer
    x = 10,330.50

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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.