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Finding the Fourth Proportional to 10,810.63, 14,918.67 and 5,842.63

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Solution

The fourth proportional to 10,810.63, 14,918.67 and 5,842.63 is: 8,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.63 : 14,918.67 = 5,842.63 : x
  2. Step 2: Convert to fraction form
    10,810.63/14,918.67 = 5,842.63/x
  3. Step 3: Cross multiply
    10,810.63x = 14,918.67 × 5,842.63
  4. Step 4: Simplify right side
    10,810.63x = 87,164,165.10
  5. Step 5: Solve for x
    x = 87,164,165.10/10,810.63
  6. Step 6: Final answer
    x = 8,062.82

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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.