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Finding the Fourth Proportional to 10,558.42, 14,570.04 and 5,842.42

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Solution

The fourth proportional to 10,558.42, 14,570.04 and 5,842.42 is: 8,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.42 : 14,570.04 = 5,842.42 : x
  2. Step 2: Convert to fraction form
    10,558.42/14,570.04 = 5,842.42/x
  3. Step 3: Cross multiply
    10,558.42x = 14,570.04 × 5,842.42
  4. Step 4: Simplify right side
    10,558.42x = 85,124,293.10
  5. Step 5: Solve for x
    x = 85,124,293.10/10,558.42
  6. Step 6: Final answer
    x = 8,062.22

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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.