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Finding the Fourth Proportional to 11,810.96, 16,293.96 and 7,092.50

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Solution

The fourth proportional to 11,810.96, 16,293.96 and 7,092.50 is: 9,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.96 : 16,293.96 = 7,092.50 : x
  2. Step 2: Convert to fraction form
    11,810.96/16,293.96 = 7,092.50/x
  3. Step 3: Cross multiply
    11,810.96x = 16,293.96 × 7,092.50
  4. Step 4: Simplify right side
    11,810.96x = 115,564,911.30
  5. Step 5: Solve for x
    x = 115,564,911.30/11,810.96
  6. Step 6: Final answer
    x = 9,784.55

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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.