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Finding the Fourth Proportional to 8,641.77, 11,973.80 and 8,454.93

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Solution

The fourth proportional to 8,641.77, 11,973.80 and 8,454.93 is: 11,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.77 : 11,973.80 = 8,454.93 : x
  2. Step 2: Convert to fraction form
    8,641.77/11,973.80 = 8,454.93/x
  3. Step 3: Cross multiply
    8,641.77x = 11,973.80 × 8,454.93
  4. Step 4: Simplify right side
    8,641.77x = 101,237,617.07
  5. Step 5: Solve for x
    x = 101,237,617.07/8,641.77
  6. Step 6: Final answer
    x = 11,714.92

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.