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Finding the Fourth Proportional to 10,810.50, 14,918.49 and 5,842.50

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Solution

The fourth proportional to 10,810.50, 14,918.49 and 5,842.50 is: 8,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.50 : 14,918.49 = 5,842.50 : x
  2. Step 2: Convert to fraction form
    10,810.50/14,918.49 = 5,842.50/x
  3. Step 3: Cross multiply
    10,810.50x = 14,918.49 × 5,842.50
  4. Step 4: Simplify right side
    10,810.50x = 87,161,277.83
  5. Step 5: Solve for x
    x = 87,161,277.83/10,810.50
  6. Step 6: Final answer
    x = 8,062.65

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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.