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Finding the Fourth Proportional to 11,178.84, 16,746.26 and 7,428.14

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Solution

The fourth proportional to 11,178.84, 16,746.26 and 7,428.14 is: 11,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.84 : 16,746.26 = 7,428.14 : x
  2. Step 2: Convert to fraction form
    11,178.84/16,746.26 = 7,428.14/x
  3. Step 3: Cross multiply
    11,178.84x = 16,746.26 × 7,428.14
  4. Step 4: Simplify right side
    11,178.84x = 124,393,563.76
  5. Step 5: Solve for x
    x = 124,393,563.76/11,178.84
  6. Step 6: Final answer
    x = 11,127.59

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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.