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Finding the Fourth Proportional to 7,814.61, 10,783.94 and 4,277.75

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Solution

The fourth proportional to 7,814.61, 10,783.94 and 4,277.75 is: 5,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.61 : 10,783.94 = 4,277.75 : x
  2. Step 2: Convert to fraction form
    7,814.61/10,783.94 = 4,277.75/x
  3. Step 3: Cross multiply
    7,814.61x = 10,783.94 × 4,277.75
  4. Step 4: Simplify right side
    7,814.61x = 46,130,924.03
  5. Step 5: Solve for x
    x = 46,130,924.03/7,814.61
  6. Step 6: Final answer
    x = 5,903.16

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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.