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Finding the Fourth Proportional to 11,344.23, 15,653.84 and 6,307.64

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Solution

The fourth proportional to 11,344.23, 15,653.84 and 6,307.64 is: 8,703.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.23 : 15,653.84 = 6,307.64 : x
  2. Step 2: Convert to fraction form
    11,344.23/15,653.84 = 6,307.64/x
  3. Step 3: Cross multiply
    11,344.23x = 15,653.84 × 6,307.64
  4. Step 4: Simplify right side
    11,344.23x = 98,738,677.53
  5. Step 5: Solve for x
    x = 98,738,677.53/11,344.23
  6. Step 6: Final answer
    x = 8,703.87

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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.