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Finding the Fourth Proportional to 7,042.70, 10,564.29 and 3,343.02

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Solution

The fourth proportional to 7,042.70, 10,564.29 and 3,343.02 is: 5,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.70 : 10,564.29 = 3,343.02 : x
  2. Step 2: Convert to fraction form
    7,042.70/10,564.29 = 3,343.02/x
  3. Step 3: Cross multiply
    7,042.70x = 10,564.29 × 3,343.02
  4. Step 4: Simplify right side
    7,042.70x = 35,316,632.76
  5. Step 5: Solve for x
    x = 35,316,632.76/7,042.70
  6. Step 6: Final answer
    x = 5,014.65

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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.