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Finding the Fourth Proportional to 27,638.25, 41,457.19 and 7,916.88

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Solution

The fourth proportional to 27,638.25, 41,457.19 and 7,916.88 is: 11,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.25 : 41,457.19 = 7,916.88 : x
  2. Step 2: Convert to fraction form
    27,638.25/41,457.19 = 7,916.88/x
  3. Step 3: Cross multiply
    27,638.25x = 41,457.19 × 7,916.88
  4. Step 4: Simplify right side
    27,638.25x = 328,211,598.37
  5. Step 5: Solve for x
    x = 328,211,598.37/27,638.25
  6. Step 6: Final answer
    x = 11,875.27

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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.