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Finding the Fourth Proportional to 11,815.58, 16,307.86 and 6,783.20

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Solution

The fourth proportional to 11,815.58, 16,307.86 and 6,783.20 is: 9,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.58 : 16,307.86 = 6,783.20 : x
  2. Step 2: Convert to fraction form
    11,815.58/16,307.86 = 6,783.20/x
  3. Step 3: Cross multiply
    11,815.58x = 16,307.86 × 6,783.20
  4. Step 4: Simplify right side
    11,815.58x = 110,619,475.95
  5. Step 5: Solve for x
    x = 110,619,475.95/11,815.58
  6. Step 6: Final answer
    x = 9,362.17

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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.