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Finding the Fourth Proportional to 7,303.70, 10,083.96 and 5,622.14

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Solution

The fourth proportional to 7,303.70, 10,083.96 and 5,622.14 is: 7,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.70 : 10,083.96 = 5,622.14 : x
  2. Step 2: Convert to fraction form
    7,303.70/10,083.96 = 5,622.14/x
  3. Step 3: Cross multiply
    7,303.70x = 10,083.96 × 5,622.14
  4. Step 4: Simplify right side
    7,303.70x = 56,693,434.87
  5. Step 5: Solve for x
    x = 56,693,434.87/7,303.70
  6. Step 6: Final answer
    x = 7,762.29

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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.