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Finding the Fourth Proportional to 11,070.81, 16,594.07 and 7,783.02

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Solution

The fourth proportional to 11,070.81, 16,594.07 and 7,783.02 is: 11,665.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,070.81 : 16,594.07 = 7,783.02 : x
  2. Step 2: Convert to fraction form
    11,070.81/16,594.07 = 7,783.02/x
  3. Step 3: Cross multiply
    11,070.81x = 16,594.07 × 7,783.02
  4. Step 4: Simplify right side
    11,070.81x = 129,151,939.78
  5. Step 5: Solve for x
    x = 129,151,939.78/11,070.81
  6. Step 6: Final answer
    x = 11,665.99

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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.