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Finding the Fourth Proportional to 10,564.26, 14,578.68 and 5,848.86

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Solution

The fourth proportional to 10,564.26, 14,578.68 and 5,848.86 is: 8,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.26 : 14,578.68 = 5,848.86 : x
  2. Step 2: Convert to fraction form
    10,564.26/14,578.68 = 5,848.86/x
  3. Step 3: Cross multiply
    10,564.26x = 14,578.68 × 5,848.86
  4. Step 4: Simplify right side
    10,564.26x = 85,268,658.30
  5. Step 5: Solve for x
    x = 85,268,658.30/10,564.26
  6. Step 6: Final answer
    x = 8,071.43

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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.