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Finding the Fourth Proportional to 7,842.46, 10,822.52 and 4,305.64

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Solution

The fourth proportional to 7,842.46, 10,822.52 and 4,305.64 is: 5,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.46 : 10,822.52 = 4,305.64 : x
  2. Step 2: Convert to fraction form
    7,842.46/10,822.52 = 4,305.64/x
  3. Step 3: Cross multiply
    7,842.46x = 10,822.52 × 4,305.64
  4. Step 4: Simplify right side
    7,842.46x = 46,597,875.01
  5. Step 5: Solve for x
    x = 46,597,875.01/7,842.46
  6. Step 6: Final answer
    x = 5,941.74

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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.