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Finding the Fourth Proportional to 7,804.42, 10,767.93 and 4,659.46

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Solution

The fourth proportional to 7,804.42, 10,767.93 and 4,659.46 is: 6,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.42 : 10,767.93 = 4,659.46 : x
  2. Step 2: Convert to fraction form
    7,804.42/10,767.93 = 4,659.46/x
  3. Step 3: Cross multiply
    7,804.42x = 10,767.93 × 4,659.46
  4. Step 4: Simplify right side
    7,804.42x = 50,172,739.12
  5. Step 5: Solve for x
    x = 50,172,739.12/7,804.42
  6. Step 6: Final answer
    x = 6,428.76

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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.