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Finding the Fourth Proportional to 10,429.03, 15,641.89 and 3,409

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Solution

The fourth proportional to 10,429.03, 15,641.89 and 3,409 is: 5,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.03 : 15,641.89 = 3,409 : x
  2. Step 2: Convert to fraction form
    10,429.03/15,641.89 = 3,409/x
  3. Step 3: Cross multiply
    10,429.03x = 15,641.89 × 3,409
  4. Step 4: Simplify right side
    10,429.03x = 53,323,203.01
  5. Step 5: Solve for x
    x = 53,323,203.01/10,429.03
  6. Step 6: Final answer
    x = 5,112.96

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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.