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Finding the Fourth Proportional to 12,860.36, 17,746.62 and 7,271

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Solution

The fourth proportional to 12,860.36, 17,746.62 and 7,271 is: 10,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.36 : 17,746.62 = 7,271 : x
  2. Step 2: Convert to fraction form
    12,860.36/17,746.62 = 7,271/x
  3. Step 3: Cross multiply
    12,860.36x = 17,746.62 × 7,271
  4. Step 4: Simplify right side
    12,860.36x = 129,035,674.02
  5. Step 5: Solve for x
    x = 129,035,674.02/12,860.36
  6. Step 6: Final answer
    x = 10,033.60

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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.