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Finding the Fourth Proportional to 10,038.80, 13,855.86 and 6,681.75

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Solution

The fourth proportional to 10,038.80, 13,855.86 and 6,681.75 is: 9,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.80 : 13,855.86 = 6,681.75 : x
  2. Step 2: Convert to fraction form
    10,038.80/13,855.86 = 6,681.75/x
  3. Step 3: Cross multiply
    10,038.80x = 13,855.86 × 6,681.75
  4. Step 4: Simplify right side
    10,038.80x = 92,581,392.56
  5. Step 5: Solve for x
    x = 92,581,392.56/10,038.80
  6. Step 6: Final answer
    x = 9,222.36

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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.