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Finding the Fourth Proportional to 8,329.27, 11,492.49 and 4,973.17

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Solution

The fourth proportional to 8,329.27, 11,492.49 and 4,973.17 is: 6,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.27 : 11,492.49 = 4,973.17 : x
  2. Step 2: Convert to fraction form
    8,329.27/11,492.49 = 4,973.17/x
  3. Step 3: Cross multiply
    8,329.27x = 11,492.49 × 4,973.17
  4. Step 4: Simplify right side
    8,329.27x = 57,154,096.41
  5. Step 5: Solve for x
    x = 57,154,096.41/8,329.27
  6. Step 6: Final answer
    x = 6,861.84

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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.