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Finding the Fourth Proportional to 10,004.61, 15,006.69 and 3,341.58

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Solution

The fourth proportional to 10,004.61, 15,006.69 and 3,341.58 is: 5,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.61 : 15,006.69 = 3,341.58 : x
  2. Step 2: Convert to fraction form
    10,004.61/15,006.69 = 3,341.58/x
  3. Step 3: Cross multiply
    10,004.61x = 15,006.69 × 3,341.58
  4. Step 4: Simplify right side
    10,004.61x = 50,146,055.17
  5. Step 5: Solve for x
    x = 50,146,055.17/10,004.61
  6. Step 6: Final answer
    x = 5,012.29

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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.