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Finding the Fourth Proportional to 12,974.16, 17,903.27 and 7,307.10

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Solution

The fourth proportional to 12,974.16, 17,903.27 and 7,307.10 is: 10,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.16 : 17,903.27 = 7,307.10 : x
  2. Step 2: Convert to fraction form
    12,974.16/17,903.27 = 7,307.10/x
  3. Step 3: Cross multiply
    12,974.16x = 17,903.27 × 7,307.10
  4. Step 4: Simplify right side
    12,974.16x = 130,820,947.68
  5. Step 5: Solve for x
    x = 130,820,947.68/12,974.16
  6. Step 6: Final answer
    x = 10,083.19

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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.