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Finding the Fourth Proportional to 10,690.56, 14,748.16 and 6,272

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Solution

The fourth proportional to 10,690.56, 14,748.16 and 6,272 is: 8,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.56 : 14,748.16 = 6,272 : x
  2. Step 2: Convert to fraction form
    10,690.56/14,748.16 = 6,272/x
  3. Step 3: Cross multiply
    10,690.56x = 14,748.16 × 6,272
  4. Step 4: Simplify right side
    10,690.56x = 92,500,459.52
  5. Step 5: Solve for x
    x = 92,500,459.52/10,690.56
  6. Step 6: Final answer
    x = 8,652.54

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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.