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Finding the Fourth Proportional to 10,307.38, 15,467.98 and 4,066.68

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Solution

The fourth proportional to 10,307.38, 15,467.98 and 4,066.68 is: 6,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.38 : 15,467.98 = 4,066.68 : x
  2. Step 2: Convert to fraction form
    10,307.38/15,467.98 = 4,066.68/x
  3. Step 3: Cross multiply
    10,307.38x = 15,467.98 × 4,066.68
  4. Step 4: Simplify right side
    10,307.38x = 62,903,324.91
  5. Step 5: Solve for x
    x = 62,903,324.91/10,307.38
  6. Step 6: Final answer
    x = 6,102.75

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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.