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Finding the Fourth Proportional to 7,123.53, 10,681.93 and 4,162.82

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Solution

The fourth proportional to 7,123.53, 10,681.93 and 4,162.82 is: 6,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.53 : 10,681.93 = 4,162.82 : x
  2. Step 2: Convert to fraction form
    7,123.53/10,681.93 = 4,162.82/x
  3. Step 3: Cross multiply
    7,123.53x = 10,681.93 × 4,162.82
  4. Step 4: Simplify right side
    7,123.53x = 44,466,988.95
  5. Step 5: Solve for x
    x = 44,466,988.95/7,123.53
  6. Step 6: Final answer
    x = 6,242.27

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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.