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Finding the Fourth Proportional to 7,306.10, 11,013.82 and 6,683.41

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Solution

The fourth proportional to 7,306.10, 11,013.82 and 6,683.41 is: 10,075.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.10 : 11,013.82 = 6,683.41 : x
  2. Step 2: Convert to fraction form
    7,306.10/11,013.82 = 6,683.41/x
  3. Step 3: Cross multiply
    7,306.10x = 11,013.82 × 6,683.41
  4. Step 4: Simplify right side
    7,306.10x = 73,609,909.38
  5. Step 5: Solve for x
    x = 73,609,909.38/7,306.10
  6. Step 6: Final answer
    x = 10,075.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.