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Finding the Fourth Proportional to 10,558.17, 14,570.19 and 5,842.71

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Solution

The fourth proportional to 10,558.17, 14,570.19 and 5,842.71 is: 8,062.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.17 : 14,570.19 = 5,842.71 : x
  2. Step 2: Convert to fraction form
    10,558.17/14,570.19 = 5,842.71/x
  3. Step 3: Cross multiply
    10,558.17x = 14,570.19 × 5,842.71
  4. Step 4: Simplify right side
    10,558.17x = 85,129,394.81
  5. Step 5: Solve for x
    x = 85,129,394.81/10,558.17
  6. Step 6: Final answer
    x = 8,062.89

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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.