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Finding the Fourth Proportional to 8,214.56, 12,313.53 and 4,703.34

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Solution

The fourth proportional to 8,214.56, 12,313.53 and 4,703.34 is: 7,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.56 : 12,313.53 = 4,703.34 : x
  2. Step 2: Convert to fraction form
    8,214.56/12,313.53 = 4,703.34/x
  3. Step 3: Cross multiply
    8,214.56x = 12,313.53 × 4,703.34
  4. Step 4: Simplify right side
    8,214.56x = 57,914,718.19
  5. Step 5: Solve for x
    x = 57,914,718.19/8,214.56
  6. Step 6: Final answer
    x = 7,050.26

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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.