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Finding the Fourth Proportional to 10,005.88, 15,011.24 and 3,430.32

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Solution

The fourth proportional to 10,005.88, 15,011.24 and 3,430.32 is: 5,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.88 : 15,011.24 = 3,430.32 : x
  2. Step 2: Convert to fraction form
    10,005.88/15,011.24 = 3,430.32/x
  3. Step 3: Cross multiply
    10,005.88x = 15,011.24 × 3,430.32
  4. Step 4: Simplify right side
    10,005.88x = 51,493,356.80
  5. Step 5: Solve for x
    x = 51,493,356.80/10,005.88
  6. Step 6: Final answer
    x = 5,146.31

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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.