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Finding the Fourth Proportional to 8,501.06, 12,746.10 and 2,954

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Solution

The fourth proportional to 8,501.06, 12,746.10 and 2,954 is: 4,429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.06 : 12,746.10 = 2,954 : x
  2. Step 2: Convert to fraction form
    8,501.06/12,746.10 = 2,954/x
  3. Step 3: Cross multiply
    8,501.06x = 12,746.10 × 2,954
  4. Step 4: Simplify right side
    8,501.06x = 37,651,979.40
  5. Step 5: Solve for x
    x = 37,651,979.40/8,501.06
  6. Step 6: Final answer
    x = 4,429.09

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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.