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Finding the Fourth Proportional to 7,492.85, 10,340.08 and 4,135.87

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Solution

The fourth proportional to 7,492.85, 10,340.08 and 4,135.87 is: 5,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.85 : 10,340.08 = 4,135.87 : x
  2. Step 2: Convert to fraction form
    7,492.85/10,340.08 = 4,135.87/x
  3. Step 3: Cross multiply
    7,492.85x = 10,340.08 × 4,135.87
  4. Step 4: Simplify right side
    7,492.85x = 42,765,226.67
  5. Step 5: Solve for x
    x = 42,765,226.67/7,492.85
  6. Step 6: Final answer
    x = 5,707.47

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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.