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Finding the Fourth Proportional to 7,703.70, 10,631.04 and 4,166.88

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Solution

The fourth proportional to 7,703.70, 10,631.04 and 4,166.88 is: 5,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.70 : 10,631.04 = 4,166.88 : x
  2. Step 2: Convert to fraction form
    7,703.70/10,631.04 = 4,166.88/x
  3. Step 3: Cross multiply
    7,703.70x = 10,631.04 × 4,166.88
  4. Step 4: Simplify right side
    7,703.70x = 44,298,267.96
  5. Step 5: Solve for x
    x = 44,298,267.96/7,703.70
  6. Step 6: Final answer
    x = 5,750.26

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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.