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Finding the Fourth Proportional to 10,214.57, 15,314.05 and 4,664.06

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Solution

The fourth proportional to 10,214.57, 15,314.05 and 4,664.06 is: 6,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.57 : 15,314.05 = 4,664.06 : x
  2. Step 2: Convert to fraction form
    10,214.57/15,314.05 = 4,664.06/x
  3. Step 3: Cross multiply
    10,214.57x = 15,314.05 × 4,664.06
  4. Step 4: Simplify right side
    10,214.57x = 71,425,559.81
  5. Step 5: Solve for x
    x = 71,425,559.81/10,214.57
  6. Step 6: Final answer
    x = 6,992.52

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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.