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Finding the Fourth Proportional to 11,115, 15,340.50 and 6,398.46

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Solution

The fourth proportional to 11,115, 15,340.50 and 6,398.46 is: 8,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,115 : 15,340.50 = 6,398.46 : x
  2. Step 2: Convert to fraction form
    11,115/15,340.50 = 6,398.46/x
  3. Step 3: Cross multiply
    11,115x = 15,340.50 × 6,398.46
  4. Step 4: Simplify right side
    11,115x = 98,155,575.63
  5. Step 5: Solve for x
    x = 98,155,575.63/11,115
  6. Step 6: Final answer
    x = 8,830.91

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