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Finding the Fourth Proportional to 11,499.51, 17,205.53 and 7,106.07

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Solution

The fourth proportional to 11,499.51, 17,205.53 and 7,106.07 is: 10,632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.51 : 17,205.53 = 7,106.07 : x
  2. Step 2: Convert to fraction form
    11,499.51/17,205.53 = 7,106.07/x
  3. Step 3: Cross multiply
    11,499.51x = 17,205.53 × 7,106.07
  4. Step 4: Simplify right side
    11,499.51x = 122,263,665.04
  5. Step 5: Solve for x
    x = 122,263,665.04/11,499.51
  6. Step 6: Final answer
    x = 10,632.08

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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.