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Finding the Fourth Proportional to 10,357.11, 14,292.81 and 5,641.39

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Solution

The fourth proportional to 10,357.11, 14,292.81 and 5,641.39 is: 7,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.11 : 14,292.81 = 5,641.39 : x
  2. Step 2: Convert to fraction form
    10,357.11/14,292.81 = 5,641.39/x
  3. Step 3: Cross multiply
    10,357.11x = 14,292.81 × 5,641.39
  4. Step 4: Simplify right side
    10,357.11x = 80,631,315.41
  5. Step 5: Solve for x
    x = 80,631,315.41/10,357.11
  6. Step 6: Final answer
    x = 7,785.12

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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.