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Finding the Fourth Proportional to 8,457, 11,670.66 and 4,731

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Solution

The fourth proportional to 8,457, 11,670.66 and 4,731 is: 6,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457 : 11,670.66 = 4,731 : x
  2. Step 2: Convert to fraction form
    8,457/11,670.66 = 4,731/x
  3. Step 3: Cross multiply
    8,457x = 11,670.66 × 4,731
  4. Step 4: Simplify right side
    8,457x = 55,213,892.46
  5. Step 5: Solve for x
    x = 55,213,892.46/8,457
  6. Step 6: Final answer
    x = 6,528.78

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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.