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Finding the Fourth Proportional to 12,411.16, 17,127.41 and 7,106.02

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Solution

The fourth proportional to 12,411.16, 17,127.41 and 7,106.02 is: 9,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.16 : 17,127.41 = 7,106.02 : x
  2. Step 2: Convert to fraction form
    12,411.16/17,127.41 = 7,106.02/x
  3. Step 3: Cross multiply
    12,411.16x = 17,127.41 × 7,106.02
  4. Step 4: Simplify right side
    12,411.16x = 121,707,718.01
  5. Step 5: Solve for x
    x = 121,707,718.01/12,411.16
  6. Step 6: Final answer
    x = 9,806.31

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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.