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Finding the Fourth Proportional to 10,905.34, 15,048.90 and 6,189.52

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Solution

The fourth proportional to 10,905.34, 15,048.90 and 6,189.52 is: 8,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.34 : 15,048.90 = 6,189.52 : x
  2. Step 2: Convert to fraction form
    10,905.34/15,048.90 = 6,189.52/x
  3. Step 3: Cross multiply
    10,905.34x = 15,048.90 × 6,189.52
  4. Step 4: Simplify right side
    10,905.34x = 93,145,467.53
  5. Step 5: Solve for x
    x = 93,145,467.53/10,905.34
  6. Step 6: Final answer
    x = 8,541.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.