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Finding the Fourth Proportional to 11,307.84, 16,965.60 and 5,832

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Solution

The fourth proportional to 11,307.84, 16,965.60 and 5,832 is: 8,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.84 : 16,965.60 = 5,832 : x
  2. Step 2: Convert to fraction form
    11,307.84/16,965.60 = 5,832/x
  3. Step 3: Cross multiply
    11,307.84x = 16,965.60 × 5,832
  4. Step 4: Simplify right side
    11,307.84x = 98,943,379.20
  5. Step 5: Solve for x
    x = 98,943,379.20/11,307.84
  6. Step 6: Final answer
    x = 8,749.98

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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.