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Finding the Fourth Proportional to 8,562.12, 11,815.32 and 4,785.23

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Solution

The fourth proportional to 8,562.12, 11,815.32 and 4,785.23 is: 6,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.12 : 11,815.32 = 4,785.23 : x
  2. Step 2: Convert to fraction form
    8,562.12/11,815.32 = 4,785.23/x
  3. Step 3: Cross multiply
    8,562.12x = 11,815.32 × 4,785.23
  4. Step 4: Simplify right side
    8,562.12x = 56,539,023.72
  5. Step 5: Solve for x
    x = 56,539,023.72/8,562.12
  6. Step 6: Final answer
    x = 6,603.39

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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.