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Finding the Fourth Proportional to 11,554.06, 17,358.84 and 7,402.14

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Solution

The fourth proportional to 11,554.06, 17,358.84 and 7,402.14 is: 11,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.06 : 17,358.84 = 7,402.14 : x
  2. Step 2: Convert to fraction form
    11,554.06/17,358.84 = 7,402.14/x
  3. Step 3: Cross multiply
    11,554.06x = 17,358.84 × 7,402.14
  4. Step 4: Simplify right side
    11,554.06x = 128,492,563.92
  5. Step 5: Solve for x
    x = 128,492,563.92/11,554.06
  6. Step 6: Final answer
    x = 11,120.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.