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Finding the Fourth Proportional to 8,051.29, 12,070.85 and 5,278.66

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Solution

The fourth proportional to 8,051.29, 12,070.85 and 5,278.66 is: 7,914.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.29 : 12,070.85 = 5,278.66 : x
  2. Step 2: Convert to fraction form
    8,051.29/12,070.85 = 5,278.66/x
  3. Step 3: Cross multiply
    8,051.29x = 12,070.85 × 5,278.66
  4. Step 4: Simplify right side
    8,051.29x = 63,717,913.06
  5. Step 5: Solve for x
    x = 63,717,913.06/8,051.29
  6. Step 6: Final answer
    x = 7,914.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.