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Finding the Fourth Proportional to 10,497.60, 15,751.26 and 4,653.45

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Solution

The fourth proportional to 10,497.60, 15,751.26 and 4,653.45 is: 6,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.60 : 15,751.26 = 4,653.45 : x
  2. Step 2: Convert to fraction form
    10,497.60/15,751.26 = 4,653.45/x
  3. Step 3: Cross multiply
    10,497.60x = 15,751.26 × 4,653.45
  4. Step 4: Simplify right side
    10,497.60x = 73,297,700.85
  5. Step 5: Solve for x
    x = 73,297,700.85/10,497.60
  6. Step 6: Final answer
    x = 6,982.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.