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Finding the Fourth Proportional to 11,307.76, 16,956.16 and 3,909.60

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Solution

The fourth proportional to 11,307.76, 16,956.16 and 3,909.60 is: 5,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.76 : 16,956.16 = 3,909.60 : x
  2. Step 2: Convert to fraction form
    11,307.76/16,956.16 = 3,909.60/x
  3. Step 3: Cross multiply
    11,307.76x = 16,956.16 × 3,909.60
  4. Step 4: Simplify right side
    11,307.76x = 66,291,803.14
  5. Step 5: Solve for x
    x = 66,291,803.14/11,307.76
  6. Step 6: Final answer
    x = 5,862.51

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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.