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Finding the Fourth Proportional to 11,820.65, 16,307.92 and 6,783.05

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Solution

The fourth proportional to 11,820.65, 16,307.92 and 6,783.05 is: 9,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.65 : 16,307.92 = 6,783.05 : x
  2. Step 2: Convert to fraction form
    11,820.65/16,307.92 = 6,783.05/x
  3. Step 3: Cross multiply
    11,820.65x = 16,307.92 × 6,783.05
  4. Step 4: Simplify right side
    11,820.65x = 110,617,436.76
  5. Step 5: Solve for x
    x = 110,617,436.76/11,820.65
  6. Step 6: Final answer
    x = 9,357.98

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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.