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Finding the Fourth Proportional to 10,735.88, 14,808.02 and 10,374.62

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Solution

The fourth proportional to 10,735.88, 14,808.02 and 10,374.62 is: 14,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.88 : 14,808.02 = 10,374.62 : x
  2. Step 2: Convert to fraction form
    10,735.88/14,808.02 = 10,374.62/x
  3. Step 3: Cross multiply
    10,735.88x = 14,808.02 × 10,374.62
  4. Step 4: Simplify right side
    10,735.88x = 153,627,554.52
  5. Step 5: Solve for x
    x = 153,627,554.52/10,735.88
  6. Step 6: Final answer
    x = 14,309.73

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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.