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Finding the Fourth Proportional to 7,511.57, 10,365.07 and 4,153.93

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Solution

The fourth proportional to 7,511.57, 10,365.07 and 4,153.93 is: 5,731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.57 : 10,365.07 = 4,153.93 : x
  2. Step 2: Convert to fraction form
    7,511.57/10,365.07 = 4,153.93/x
  3. Step 3: Cross multiply
    7,511.57x = 10,365.07 × 4,153.93
  4. Step 4: Simplify right side
    7,511.57x = 43,055,801.16
  5. Step 5: Solve for x
    x = 43,055,801.16/7,511.57
  6. Step 6: Final answer
    x = 5,731.93

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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.