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Finding the Fourth Proportional to 12,409.88, 17,125.63 and 7,106.40

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Solution

The fourth proportional to 12,409.88, 17,125.63 and 7,106.40 is: 9,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.88 : 17,125.63 = 7,106.40 : x
  2. Step 2: Convert to fraction form
    12,409.88/17,125.63 = 7,106.40/x
  3. Step 3: Cross multiply
    12,409.88x = 17,125.63 × 7,106.40
  4. Step 4: Simplify right side
    12,409.88x = 121,701,559.27
  5. Step 5: Solve for x
    x = 121,701,559.27/12,409.88
  6. Step 6: Final answer
    x = 9,806.83

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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.