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Finding the Fourth Proportional to 10,457.88, 14,418.18 and 7,625.94

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Solution

The fourth proportional to 10,457.88, 14,418.18 and 7,625.94 is: 10,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.88 : 14,418.18 = 7,625.94 : x
  2. Step 2: Convert to fraction form
    10,457.88/14,418.18 = 7,625.94/x
  3. Step 3: Cross multiply
    10,457.88x = 14,418.18 × 7,625.94
  4. Step 4: Simplify right side
    10,457.88x = 109,952,175.59
  5. Step 5: Solve for x
    x = 109,952,175.59/10,457.88
  6. Step 6: Final answer
    x = 10,513.81

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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.