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Finding the Fourth Proportional to 10,732.34, 14,794.98 and 7,535.64

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Solution

The fourth proportional to 10,732.34, 14,794.98 and 7,535.64 is: 10,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.34 : 14,794.98 = 7,535.64 : x
  2. Step 2: Convert to fraction form
    10,732.34/14,794.98 = 7,535.64/x
  3. Step 3: Cross multiply
    10,732.34x = 14,794.98 × 7,535.64
  4. Step 4: Simplify right side
    10,732.34x = 111,489,643.09
  5. Step 5: Solve for x
    x = 111,489,643.09/10,732.34
  6. Step 6: Final answer
    x = 10,388.20

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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.