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Finding the Fourth Proportional to 10,830.41, 16,241.51 and 4,253

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Solution

The fourth proportional to 10,830.41, 16,241.51 and 4,253 is: 6,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.41 : 16,241.51 = 4,253 : x
  2. Step 2: Convert to fraction form
    10,830.41/16,241.51 = 4,253/x
  3. Step 3: Cross multiply
    10,830.41x = 16,241.51 × 4,253
  4. Step 4: Simplify right side
    10,830.41x = 69,075,120.77
  5. Step 5: Solve for x
    x = 69,075,120.77/10,830.41
  6. Step 6: Final answer
    x = 6,377.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.