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Finding the Fourth Proportional to 7,814.97, 10,784.52 and 4,278.06

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Solution

The fourth proportional to 7,814.97, 10,784.52 and 4,278.06 is: 5,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.97 : 10,784.52 = 4,278.06 : x
  2. Step 2: Convert to fraction form
    7,814.97/10,784.52 = 4,278.06/x
  3. Step 3: Cross multiply
    7,814.97x = 10,784.52 × 4,278.06
  4. Step 4: Simplify right side
    7,814.97x = 46,136,823.63
  5. Step 5: Solve for x
    x = 46,136,823.63/7,814.97
  6. Step 6: Final answer
    x = 5,903.65

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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.