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Finding the Fourth Proportional to 7,406.19, 10,223.12 and 4,263.63

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Solution

The fourth proportional to 7,406.19, 10,223.12 and 4,263.63 is: 5,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.19 : 10,223.12 = 4,263.63 : x
  2. Step 2: Convert to fraction form
    7,406.19/10,223.12 = 4,263.63/x
  3. Step 3: Cross multiply
    7,406.19x = 10,223.12 × 4,263.63
  4. Step 4: Simplify right side
    7,406.19x = 43,587,579.81
  5. Step 5: Solve for x
    x = 43,587,579.81/7,406.19
  6. Step 6: Final answer
    x = 5,885.29

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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.