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Finding the Fourth Proportional to 10,735.50, 14,809.95 and 7,593.42

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Solution

The fourth proportional to 10,735.50, 14,809.95 and 7,593.42 is: 10,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.50 : 14,809.95 = 7,593.42 : x
  2. Step 2: Convert to fraction form
    10,735.50/14,809.95 = 7,593.42/x
  3. Step 3: Cross multiply
    10,735.50x = 14,809.95 × 7,593.42
  4. Step 4: Simplify right side
    10,735.50x = 112,458,170.53
  5. Step 5: Solve for x
    x = 112,458,170.53/10,735.50
  6. Step 6: Final answer
    x = 10,475.35

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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.