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Finding the Fourth Proportional to 7,107.03, 9,807.57 and 4,123.14

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Solution

The fourth proportional to 7,107.03, 9,807.57 and 4,123.14 is: 5,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.03 : 9,807.57 = 4,123.14 : x
  2. Step 2: Convert to fraction form
    7,107.03/9,807.57 = 4,123.14/x
  3. Step 3: Cross multiply
    7,107.03x = 9,807.57 × 4,123.14
  4. Step 4: Simplify right side
    7,107.03x = 40,437,984.17
  5. Step 5: Solve for x
    x = 40,437,984.17/7,107.03
  6. Step 6: Final answer
    x = 5,689.86

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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.