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Finding the Fourth Proportional to 7,605.16, 11,407.74 and 2,862.21

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Solution

The fourth proportional to 7,605.16, 11,407.74 and 2,862.21 is: 4,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.16 : 11,407.74 = 2,862.21 : x
  2. Step 2: Convert to fraction form
    7,605.16/11,407.74 = 2,862.21/x
  3. Step 3: Cross multiply
    7,605.16x = 11,407.74 × 2,862.21
  4. Step 4: Simplify right side
    7,605.16x = 32,651,347.51
  5. Step 5: Solve for x
    x = 32,651,347.51/7,605.16
  6. Step 6: Final answer
    x = 4,293.32

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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.