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Finding the Fourth Proportional to 10,095.34, 15,141.21 and 3,073.65

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Solution

The fourth proportional to 10,095.34, 15,141.21 and 3,073.65 is: 4,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.34 : 15,141.21 = 3,073.65 : x
  2. Step 2: Convert to fraction form
    10,095.34/15,141.21 = 3,073.65/x
  3. Step 3: Cross multiply
    10,095.34x = 15,141.21 × 3,073.65
  4. Step 4: Simplify right side
    10,095.34x = 46,538,780.12
  5. Step 5: Solve for x
    x = 46,538,780.12/10,095.34
  6. Step 6: Final answer
    x = 4,609.93

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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.