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Finding the Fourth Proportional to 7,842.42, 10,822.14 and 4,485.06

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Solution

The fourth proportional to 7,842.42, 10,822.14 and 4,485.06 is: 6,189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.42 : 10,822.14 = 4,485.06 : x
  2. Step 2: Convert to fraction form
    7,842.42/10,822.14 = 4,485.06/x
  3. Step 3: Cross multiply
    7,842.42x = 10,822.14 × 4,485.06
  4. Step 4: Simplify right side
    7,842.42x = 48,537,947.23
  5. Step 5: Solve for x
    x = 48,537,947.23/7,842.42
  6. Step 6: Final answer
    x = 6,189.15

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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.