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Finding the Fourth Proportional to 11,782.41, 17,674.47 and 4,386.87

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Solution

The fourth proportional to 11,782.41, 17,674.47 and 4,386.87 is: 6,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.41 : 17,674.47 = 4,386.87 : x
  2. Step 2: Convert to fraction form
    11,782.41/17,674.47 = 4,386.87/x
  3. Step 3: Cross multiply
    11,782.41x = 17,674.47 × 4,386.87
  4. Step 4: Simplify right side
    11,782.41x = 77,535,602.21
  5. Step 5: Solve for x
    x = 77,535,602.21/11,782.41
  6. Step 6: Final answer
    x = 6,580.63

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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.