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Finding the Fourth Proportional to 10,872.61, 16,307.88 and 3,475.08

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Solution

The fourth proportional to 10,872.61, 16,307.88 and 3,475.08 is: 5,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.61 : 16,307.88 = 3,475.08 : x
  2. Step 2: Convert to fraction form
    10,872.61/16,307.88 = 3,475.08/x
  3. Step 3: Cross multiply
    10,872.61x = 16,307.88 × 3,475.08
  4. Step 4: Simplify right side
    10,872.61x = 56,671,187.63
  5. Step 5: Solve for x
    x = 56,671,187.63/10,872.61
  6. Step 6: Final answer
    x = 5,212.29

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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.