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Finding the Fourth Proportional to 7,123.58, 9,833.64 and 4,896.95

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Solution

The fourth proportional to 7,123.58, 9,833.64 and 4,896.95 is: 6,759.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.58 : 9,833.64 = 4,896.95 : x
  2. Step 2: Convert to fraction form
    7,123.58/9,833.64 = 4,896.95/x
  3. Step 3: Cross multiply
    7,123.58x = 9,833.64 × 4,896.95
  4. Step 4: Simplify right side
    7,123.58x = 48,154,775.87
  5. Step 5: Solve for x
    x = 48,154,775.87/7,123.58
  6. Step 6: Final answer
    x = 6,759.91

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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.