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Finding the Fourth Proportional to 10,228.68, 14,113.44 and 6,036.12

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Solution

The fourth proportional to 10,228.68, 14,113.44 and 6,036.12 is: 8,328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.68 : 14,113.44 = 6,036.12 : x
  2. Step 2: Convert to fraction form
    10,228.68/14,113.44 = 6,036.12/x
  3. Step 3: Cross multiply
    10,228.68x = 14,113.44 × 6,036.12
  4. Step 4: Simplify right side
    10,228.68x = 85,190,417.45
  5. Step 5: Solve for x
    x = 85,190,417.45/10,228.68
  6. Step 6: Final answer
    x = 8,328.58

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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.