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Finding the Fourth Proportional to 10,673.80, 16,009.74 and 7,567.12

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Solution

The fourth proportional to 10,673.80, 16,009.74 and 7,567.12 is: 11,350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.80 : 16,009.74 = 7,567.12 : x
  2. Step 2: Convert to fraction form
    10,673.80/16,009.74 = 7,567.12/x
  3. Step 3: Cross multiply
    10,673.80x = 16,009.74 × 7,567.12
  4. Step 4: Simplify right side
    10,673.80x = 121,147,623.75
  5. Step 5: Solve for x
    x = 121,147,623.75/10,673.80
  6. Step 6: Final answer
    x = 11,350.00

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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.