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Finding the Fourth Proportional to 11,437.68, 15,782.67 and 6,402.18

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Solution

The fourth proportional to 11,437.68, 15,782.67 and 6,402.18 is: 8,834.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.68 : 15,782.67 = 6,402.18 : x
  2. Step 2: Convert to fraction form
    11,437.68/15,782.67 = 6,402.18/x
  3. Step 3: Cross multiply
    11,437.68x = 15,782.67 × 6,402.18
  4. Step 4: Simplify right side
    11,437.68x = 101,043,494.22
  5. Step 5: Solve for x
    x = 101,043,494.22/11,437.68
  6. Step 6: Final answer
    x = 8,834.26

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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.