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Finding the Fourth Proportional to 8,562.61, 11,810.57 and 7,441.64

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Solution

The fourth proportional to 8,562.61, 11,810.57 and 7,441.64 is: 10,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.61 : 11,810.57 = 7,441.64 : x
  2. Step 2: Convert to fraction form
    8,562.61/11,810.57 = 7,441.64/x
  3. Step 3: Cross multiply
    8,562.61x = 11,810.57 × 7,441.64
  4. Step 4: Simplify right side
    8,562.61x = 87,889,913.87
  5. Step 5: Solve for x
    x = 87,889,913.87/8,562.61
  6. Step 6: Final answer
    x = 10,264.39

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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.