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Finding the Fourth Proportional to 10,440.54, 14,398.16 and 8,323.10

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Solution

The fourth proportional to 10,440.54, 14,398.16 and 8,323.10 is: 11,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.54 : 14,398.16 = 8,323.10 : x
  2. Step 2: Convert to fraction form
    10,440.54/14,398.16 = 8,323.10/x
  3. Step 3: Cross multiply
    10,440.54x = 14,398.16 × 8,323.10
  4. Step 4: Simplify right side
    10,440.54x = 119,837,211.89
  5. Step 5: Solve for x
    x = 119,837,211.89/10,440.54
  6. Step 6: Final answer
    x = 11,478.07

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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.