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Finding the Fourth Proportional to 10,064.86, 15,097.29 and 3,491.05

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Solution

The fourth proportional to 10,064.86, 15,097.29 and 3,491.05 is: 5,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.86 : 15,097.29 = 3,491.05 : x
  2. Step 2: Convert to fraction form
    10,064.86/15,097.29 = 3,491.05/x
  3. Step 3: Cross multiply
    10,064.86x = 15,097.29 × 3,491.05
  4. Step 4: Simplify right side
    10,064.86x = 52,705,394.25
  5. Step 5: Solve for x
    x = 52,705,394.25/10,064.86
  6. Step 6: Final answer
    x = 5,236.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.