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Finding the Fourth Proportional to 7,295.63, 10,943.40 and 3,132.93

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Solution

The fourth proportional to 7,295.63, 10,943.40 and 3,132.93 is: 4,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.63 : 10,943.40 = 3,132.93 : x
  2. Step 2: Convert to fraction form
    7,295.63/10,943.40 = 3,132.93/x
  3. Step 3: Cross multiply
    7,295.63x = 10,943.40 × 3,132.93
  4. Step 4: Simplify right side
    7,295.63x = 34,284,906.16
  5. Step 5: Solve for x
    x = 34,284,906.16/7,295.63
  6. Step 6: Final answer
    x = 4,699.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.