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Finding the Fourth Proportional to 7,492.61, 10,333.19 and 5,106.43

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Solution

The fourth proportional to 7,492.61, 10,333.19 and 5,106.43 is: 7,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.61 : 10,333.19 = 5,106.43 : x
  2. Step 2: Convert to fraction form
    7,492.61/10,333.19 = 5,106.43/x
  3. Step 3: Cross multiply
    7,492.61x = 10,333.19 × 5,106.43
  4. Step 4: Simplify right side
    7,492.61x = 52,765,729.04
  5. Step 5: Solve for x
    x = 52,765,729.04/7,492.61
  6. Step 6: Final answer
    x = 7,042.37

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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.