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Finding the Fourth Proportional to 11,818, 16,308.72 and 7,041.24

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Solution

The fourth proportional to 11,818, 16,308.72 and 7,041.24 is: 9,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818 : 16,308.72 = 7,041.24 : x
  2. Step 2: Convert to fraction form
    11,818/16,308.72 = 7,041.24/x
  3. Step 3: Cross multiply
    11,818x = 16,308.72 × 7,041.24
  4. Step 4: Simplify right side
    11,818x = 114,833,611.61
  5. Step 5: Solve for x
    x = 114,833,611.61/11,818
  6. Step 6: Final answer
    x = 9,716.84

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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.