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Finding the Fourth Proportional to 7,134.41, 10,696.14 and 4,360.56

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Solution

The fourth proportional to 7,134.41, 10,696.14 and 4,360.56 is: 6,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.41 : 10,696.14 = 4,360.56 : x
  2. Step 2: Convert to fraction form
    7,134.41/10,696.14 = 4,360.56/x
  3. Step 3: Cross multiply
    7,134.41x = 10,696.14 × 4,360.56
  4. Step 4: Simplify right side
    7,134.41x = 46,641,160.24
  5. Step 5: Solve for x
    x = 46,641,160.24/7,134.41
  6. Step 6: Final answer
    x = 6,537.50

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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.