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Finding the Fourth Proportional to 7,828.57, 10,737.28 and 7,404.94

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Solution

The fourth proportional to 7,828.57, 10,737.28 and 7,404.94 is: 10,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.57 : 10,737.28 = 7,404.94 : x
  2. Step 2: Convert to fraction form
    7,828.57/10,737.28 = 7,404.94/x
  3. Step 3: Cross multiply
    7,828.57x = 10,737.28 × 7,404.94
  4. Step 4: Simplify right side
    7,828.57x = 79,508,914.16
  5. Step 5: Solve for x
    x = 79,508,914.16/7,828.57
  6. Step 6: Final answer
    x = 10,156.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.