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Finding the Fourth Proportional to 11,715.40, 16,182.42 and 9,492.04

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Solution

The fourth proportional to 11,715.40, 16,182.42 and 9,492.04 is: 13,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.40 : 16,182.42 = 9,492.04 : x
  2. Step 2: Convert to fraction form
    11,715.40/16,182.42 = 9,492.04/x
  3. Step 3: Cross multiply
    11,715.40x = 16,182.42 × 9,492.04
  4. Step 4: Simplify right side
    11,715.40x = 153,604,177.94
  5. Step 5: Solve for x
    x = 153,604,177.94/11,715.40
  6. Step 6: Final answer
    x = 13,111.30

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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.