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Finding the Fourth Proportional to 10,272.16, 14,182.51 and 6,741.37

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Solution

The fourth proportional to 10,272.16, 14,182.51 and 6,741.37 is: 9,307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.16 : 14,182.51 = 6,741.37 : x
  2. Step 2: Convert to fraction form
    10,272.16/14,182.51 = 6,741.37/x
  3. Step 3: Cross multiply
    10,272.16x = 14,182.51 × 6,741.37
  4. Step 4: Simplify right side
    10,272.16x = 95,609,476.53
  5. Step 5: Solve for x
    x = 95,609,476.53/10,272.16
  6. Step 6: Final answer
    x = 9,307.64

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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.