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Finding the Fourth Proportional to 10,810.89, 14,919 and 5,842.89

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Solution

The fourth proportional to 10,810.89, 14,919 and 5,842.89 is: 8,063.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.89 : 14,919 = 5,842.89 : x
  2. Step 2: Convert to fraction form
    10,810.89/14,919 = 5,842.89/x
  3. Step 3: Cross multiply
    10,810.89x = 14,919 × 5,842.89
  4. Step 4: Simplify right side
    10,810.89x = 87,170,075.91
  5. Step 5: Solve for x
    x = 87,170,075.91/10,810.89
  6. Step 6: Final answer
    x = 8,063.17

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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.