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Finding the Fourth Proportional to 10,518.85, 15,766.16 and 4,272

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Solution

The fourth proportional to 10,518.85, 15,766.16 and 4,272 is: 6,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.85 : 15,766.16 = 4,272 : x
  2. Step 2: Convert to fraction form
    10,518.85/15,766.16 = 4,272/x
  3. Step 3: Cross multiply
    10,518.85x = 15,766.16 × 4,272
  4. Step 4: Simplify right side
    10,518.85x = 67,353,014.16
  5. Step 5: Solve for x
    x = 67,353,014.16/10,518.85
  6. Step 6: Final answer
    x = 6,403.08

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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.