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Finding the Fourth Proportional to 10,492.20, 15,723.90 and 8,548.20

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Solution

The fourth proportional to 10,492.20, 15,723.90 and 8,548.20 is: 12,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.20 : 15,723.90 = 8,548.20 : x
  2. Step 2: Convert to fraction form
    10,492.20/15,723.90 = 8,548.20/x
  3. Step 3: Cross multiply
    10,492.20x = 15,723.90 × 8,548.20
  4. Step 4: Simplify right side
    10,492.20x = 134,411,041.98
  5. Step 5: Solve for x
    x = 134,411,041.98/10,492.20
  6. Step 6: Final answer
    x = 12,810.57

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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.