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Finding the Fourth Proportional to 10,045.85, 13,860.46 and 5,853.29

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Solution

The fourth proportional to 10,045.85, 13,860.46 and 5,853.29 is: 8,075.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.85 : 13,860.46 = 5,853.29 : x
  2. Step 2: Convert to fraction form
    10,045.85/13,860.46 = 5,853.29/x
  3. Step 3: Cross multiply
    10,045.85x = 13,860.46 × 5,853.29
  4. Step 4: Simplify right side
    10,045.85x = 81,129,291.91
  5. Step 5: Solve for x
    x = 81,129,291.91/10,045.85
  6. Step 6: Final answer
    x = 8,075.90

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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.