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Finding the Fourth Proportional to 10,056, 15,083.76 and 3,486.72

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Solution

The fourth proportional to 10,056, 15,083.76 and 3,486.72 is: 5,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056 : 15,083.76 = 3,486.72 : x
  2. Step 2: Convert to fraction form
    10,056/15,083.76 = 3,486.72/x
  3. Step 3: Cross multiply
    10,056x = 15,083.76 × 3,486.72
  4. Step 4: Simplify right side
    10,056x = 52,592,847.67
  5. Step 5: Solve for x
    x = 52,592,847.67/10,056
  6. Step 6: Final answer
    x = 5,230.00

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Why These Related Problems?

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