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Finding the Fourth Proportional to 10,653.23, 14,696.74 and 6,401.82

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Solution

The fourth proportional to 10,653.23, 14,696.74 and 6,401.82 is: 8,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.23 : 14,696.74 = 6,401.82 : x
  2. Step 2: Convert to fraction form
    10,653.23/14,696.74 = 6,401.82/x
  3. Step 3: Cross multiply
    10,653.23x = 14,696.74 × 6,401.82
  4. Step 4: Simplify right side
    10,653.23x = 94,085,884.07
  5. Step 5: Solve for x
    x = 94,085,884.07/10,653.23
  6. Step 6: Final answer
    x = 8,831.68

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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.