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Finding the Fourth Proportional to 7,148.41, 9,857.90 and 5,023.27

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Solution

The fourth proportional to 7,148.41, 9,857.90 and 5,023.27 is: 6,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.41 : 9,857.90 = 5,023.27 : x
  2. Step 2: Convert to fraction form
    7,148.41/9,857.90 = 5,023.27/x
  3. Step 3: Cross multiply
    7,148.41x = 9,857.90 × 5,023.27
  4. Step 4: Simplify right side
    7,148.41x = 49,518,862.76
  5. Step 5: Solve for x
    x = 49,518,862.76/7,148.41
  6. Step 6: Final answer
    x = 6,927.25

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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.