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Finding the Fourth Proportional to 8,623.64, 12,877 and 6,848.72

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Solution

The fourth proportional to 8,623.64, 12,877 and 6,848.72 is: 10,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.64 : 12,877 = 6,848.72 : x
  2. Step 2: Convert to fraction form
    8,623.64/12,877 = 6,848.72/x
  3. Step 3: Cross multiply
    8,623.64x = 12,877 × 6,848.72
  4. Step 4: Simplify right side
    8,623.64x = 88,190,967.44
  5. Step 5: Solve for x
    x = 88,190,967.44/8,623.64
  6. Step 6: Final answer
    x = 10,226.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.