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Finding the Fourth Proportional to 10,022.84, 13,831.74 and 6,492.19

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Solution

The fourth proportional to 10,022.84, 13,831.74 and 6,492.19 is: 8,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.84 : 13,831.74 = 6,492.19 : x
  2. Step 2: Convert to fraction form
    10,022.84/13,831.74 = 6,492.19/x
  3. Step 3: Cross multiply
    10,022.84x = 13,831.74 × 6,492.19
  4. Step 4: Simplify right side
    10,022.84x = 89,798,267.88
  5. Step 5: Solve for x
    x = 89,798,267.88/10,022.84
  6. Step 6: Final answer
    x = 8,959.37

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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.