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Finding the Fourth Proportional to 10,895.58, 15,034.86 and 6,114.42

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Solution

The fourth proportional to 10,895.58, 15,034.86 and 6,114.42 is: 8,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895.58 : 15,034.86 = 6,114.42 : x
  2. Step 2: Convert to fraction form
    10,895.58/15,034.86 = 6,114.42/x
  3. Step 3: Cross multiply
    10,895.58x = 15,034.86 × 6,114.42
  4. Step 4: Simplify right side
    10,895.58x = 91,929,448.68
  5. Step 5: Solve for x
    x = 91,929,448.68/10,895.58
  6. Step 6: Final answer
    x = 8,437.32

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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.