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Finding the Fourth Proportional to 7,492.95, 11,230.67 and 5,638.10

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Solution

The fourth proportional to 7,492.95, 11,230.67 and 5,638.10 is: 8,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.95 : 11,230.67 = 5,638.10 : x
  2. Step 2: Convert to fraction form
    7,492.95/11,230.67 = 5,638.10/x
  3. Step 3: Cross multiply
    7,492.95x = 11,230.67 × 5,638.10
  4. Step 4: Simplify right side
    7,492.95x = 63,319,682.70
  5. Step 5: Solve for x
    x = 63,319,682.70/7,492.95
  6. Step 6: Final answer
    x = 8,450.57

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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.