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Finding the Fourth Proportional to 10,105.04, 15,148.44 and 4,262

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Solution

The fourth proportional to 10,105.04, 15,148.44 and 4,262 is: 6,389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.04 : 15,148.44 = 4,262 : x
  2. Step 2: Convert to fraction form
    10,105.04/15,148.44 = 4,262/x
  3. Step 3: Cross multiply
    10,105.04x = 15,148.44 × 4,262
  4. Step 4: Simplify right side
    10,105.04x = 64,562,651.28
  5. Step 5: Solve for x
    x = 64,562,651.28/10,105.04
  6. Step 6: Final answer
    x = 6,389.15

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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.