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Finding the Fourth Proportional to 10,004.70, 15,009.06 and 2,984.82

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Solution

The fourth proportional to 10,004.70, 15,009.06 and 2,984.82 is: 4,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.70 : 15,009.06 = 2,984.82 : x
  2. Step 2: Convert to fraction form
    10,004.70/15,009.06 = 2,984.82/x
  3. Step 3: Cross multiply
    10,004.70x = 15,009.06 × 2,984.82
  4. Step 4: Simplify right side
    10,004.70x = 44,799,342.47
  5. Step 5: Solve for x
    x = 44,799,342.47/10,004.70
  6. Step 6: Final answer
    x = 4,477.83

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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.