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Finding the Fourth Proportional to 10,458.92, 14,440.07 and 6,484.25

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Solution

The fourth proportional to 10,458.92, 14,440.07 and 6,484.25 is: 8,952.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.92 : 14,440.07 = 6,484.25 : x
  2. Step 2: Convert to fraction form
    10,458.92/14,440.07 = 6,484.25/x
  3. Step 3: Cross multiply
    10,458.92x = 14,440.07 × 6,484.25
  4. Step 4: Simplify right side
    10,458.92x = 93,633,023.90
  5. Step 5: Solve for x
    x = 93,633,023.90/10,458.92
  6. Step 6: Final answer
    x = 8,952.46

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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.