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Finding the Fourth Proportional to 8,275.66, 12,416.70 and 6,538.84

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Solution

The fourth proportional to 8,275.66, 12,416.70 and 6,538.84 is: 9,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.66 : 12,416.70 = 6,538.84 : x
  2. Step 2: Convert to fraction form
    8,275.66/12,416.70 = 6,538.84/x
  3. Step 3: Cross multiply
    8,275.66x = 12,416.70 × 6,538.84
  4. Step 4: Simplify right side
    8,275.66x = 81,190,814.63
  5. Step 5: Solve for x
    x = 81,190,814.63/8,275.66
  6. Step 6: Final answer
    x = 9,810.80

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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.