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Finding the Fourth Proportional to 11,368.41, 15,688.31 and 6,332.57

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Solution

The fourth proportional to 11,368.41, 15,688.31 and 6,332.57 is: 8,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,368.41 : 15,688.31 = 6,332.57 : x
  2. Step 2: Convert to fraction form
    11,368.41/15,688.31 = 6,332.57/x
  3. Step 3: Cross multiply
    11,368.41x = 15,688.31 × 6,332.57
  4. Step 4: Simplify right side
    11,368.41x = 99,347,321.26
  5. Step 5: Solve for x
    x = 99,347,321.26/11,368.41
  6. Step 6: Final answer
    x = 8,738.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.