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Finding the Fourth Proportional to 10,335.10, 15,509.67 and 6,817.54

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Solution

The fourth proportional to 10,335.10, 15,509.67 and 6,817.54 is: 10,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.10 : 15,509.67 = 6,817.54 : x
  2. Step 2: Convert to fraction form
    10,335.10/15,509.67 = 6,817.54/x
  3. Step 3: Cross multiply
    10,335.10x = 15,509.67 × 6,817.54
  4. Step 4: Simplify right side
    10,335.10x = 105,737,795.61
  5. Step 5: Solve for x
    x = 105,737,795.61/10,335.10
  6. Step 6: Final answer
    x = 10,230.94

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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.