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Finding the Fourth Proportional to 7,705.26, 10,631.25 and 4,560.03

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Solution

The fourth proportional to 7,705.26, 10,631.25 and 4,560.03 is: 6,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.26 : 10,631.25 = 4,560.03 : x
  2. Step 2: Convert to fraction form
    7,705.26/10,631.25 = 4,560.03/x
  3. Step 3: Cross multiply
    7,705.26x = 10,631.25 × 4,560.03
  4. Step 4: Simplify right side
    7,705.26x = 48,478,818.94
  5. Step 5: Solve for x
    x = 48,478,818.94/7,705.26
  6. Step 6: Final answer
    x = 6,291.65

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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.