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Finding the Fourth Proportional to 10,457.82, 15,690.84 and 4,610.34

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Solution

The fourth proportional to 10,457.82, 15,690.84 and 4,610.34 is: 6,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.82 : 15,690.84 = 4,610.34 : x
  2. Step 2: Convert to fraction form
    10,457.82/15,690.84 = 4,610.34/x
  3. Step 3: Cross multiply
    10,457.82x = 15,690.84 × 4,610.34
  4. Step 4: Simplify right side
    10,457.82x = 72,340,107.29
  5. Step 5: Solve for x
    x = 72,340,107.29/10,457.82
  6. Step 6: Final answer
    x = 6,917.32

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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.