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Finding the Fourth Proportional to 7,814.63, 10,783.78 and 4,277.16

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Solution

The fourth proportional to 7,814.63, 10,783.78 and 4,277.16 is: 5,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.63 : 10,783.78 = 4,277.16 : x
  2. Step 2: Convert to fraction form
    7,814.63/10,783.78 = 4,277.16/x
  3. Step 3: Cross multiply
    7,814.63x = 10,783.78 × 4,277.16
  4. Step 4: Simplify right side
    7,814.63x = 46,123,941.77
  5. Step 5: Solve for x
    x = 46,123,941.77/7,814.63
  6. Step 6: Final answer
    x = 5,902.25

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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.