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Finding the Fourth Proportional to 10,492.22, 14,478.83 and 6,012.86

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Solution

The fourth proportional to 10,492.22, 14,478.83 and 6,012.86 is: 8,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.22 : 14,478.83 = 6,012.86 : x
  2. Step 2: Convert to fraction form
    10,492.22/14,478.83 = 6,012.86/x
  3. Step 3: Cross multiply
    10,492.22x = 14,478.83 × 6,012.86
  4. Step 4: Simplify right side
    10,492.22x = 87,059,075.30
  5. Step 5: Solve for x
    x = 87,059,075.30/10,492.22
  6. Step 6: Final answer
    x = 8,297.49

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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.