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Finding the Fourth Proportional to 11,038.77, 15,230.90 and 7,460.39

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Solution

The fourth proportional to 11,038.77, 15,230.90 and 7,460.39 is: 10,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.77 : 15,230.90 = 7,460.39 : x
  2. Step 2: Convert to fraction form
    11,038.77/15,230.90 = 7,460.39/x
  3. Step 3: Cross multiply
    11,038.77x = 15,230.90 × 7,460.39
  4. Step 4: Simplify right side
    11,038.77x = 113,628,454.05
  5. Step 5: Solve for x
    x = 113,628,454.05/11,038.77
  6. Step 6: Final answer
    x = 10,293.58

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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.