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Finding the Fourth Proportional to 7,814.88, 10,784.57 and 4,278.06

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Solution

The fourth proportional to 7,814.88, 10,784.57 and 4,278.06 is: 5,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.88 : 10,784.57 = 4,278.06 : x
  2. Step 2: Convert to fraction form
    7,814.88/10,784.57 = 4,278.06/x
  3. Step 3: Cross multiply
    7,814.88x = 10,784.57 × 4,278.06
  4. Step 4: Simplify right side
    7,814.88x = 46,137,016.14
  5. Step 5: Solve for x
    x = 46,137,016.14/7,814.88
  6. Step 6: Final answer
    x = 5,903.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.