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Finding the Fourth Proportional to 10,045.81, 13,855.75 and 6,457.51

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Solution

The fourth proportional to 10,045.81, 13,855.75 and 6,457.51 is: 8,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.81 : 13,855.75 = 6,457.51 : x
  2. Step 2: Convert to fraction form
    10,045.81/13,855.75 = 6,457.51/x
  3. Step 3: Cross multiply
    10,045.81x = 13,855.75 × 6,457.51
  4. Step 4: Simplify right side
    10,045.81x = 89,473,644.18
  5. Step 5: Solve for x
    x = 89,473,644.18/10,045.81
  6. Step 6: Final answer
    x = 8,906.56

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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.