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Finding the Fourth Proportional to 27,126.66, 40,689.57 and 7,405.16

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Solution

The fourth proportional to 27,126.66, 40,689.57 and 7,405.16 is: 11,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,126.66 : 40,689.57 = 7,405.16 : x
  2. Step 2: Convert to fraction form
    27,126.66/40,689.57 = 7,405.16/x
  3. Step 3: Cross multiply
    27,126.66x = 40,689.57 × 7,405.16
  4. Step 4: Simplify right side
    27,126.66x = 301,312,538.02
  5. Step 5: Solve for x
    x = 301,312,538.02/27,126.66
  6. Step 6: Final answer
    x = 11,107.62

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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.