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Finding the Fourth Proportional to 11,345.70, 17,022.02 and 5,802.94

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Solution

The fourth proportional to 11,345.70, 17,022.02 and 5,802.94 is: 8,706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.70 : 17,022.02 = 5,802.94 : x
  2. Step 2: Convert to fraction form
    11,345.70/17,022.02 = 5,802.94/x
  3. Step 3: Cross multiply
    11,345.70x = 17,022.02 × 5,802.94
  4. Step 4: Simplify right side
    11,345.70x = 98,777,760.74
  5. Step 5: Solve for x
    x = 98,777,760.74/11,345.70
  6. Step 6: Final answer
    x = 8,706.18

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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.