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Finding the Fourth Proportional to 10,009.46, 14,992.31 and 5,070.62

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Solution

The fourth proportional to 10,009.46, 14,992.31 and 5,070.62 is: 7,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.46 : 14,992.31 = 5,070.62 : x
  2. Step 2: Convert to fraction form
    10,009.46/14,992.31 = 5,070.62/x
  3. Step 3: Cross multiply
    10,009.46x = 14,992.31 × 5,070.62
  4. Step 4: Simplify right side
    10,009.46x = 76,020,306.93
  5. Step 5: Solve for x
    x = 76,020,306.93/10,009.46
  6. Step 6: Final answer
    x = 7,594.85

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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.