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Finding the Fourth Proportional to 7,703.34, 10,630.61 and 4,166.55

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Solution

The fourth proportional to 7,703.34, 10,630.61 and 4,166.55 is: 5,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.34 : 10,630.61 = 4,166.55 : x
  2. Step 2: Convert to fraction form
    7,703.34/10,630.61 = 4,166.55/x
  3. Step 3: Cross multiply
    7,703.34x = 10,630.61 × 4,166.55
  4. Step 4: Simplify right side
    7,703.34x = 44,292,968.10
  5. Step 5: Solve for x
    x = 44,292,968.10/7,703.34
  6. Step 6: Final answer
    x = 5,749.84

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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.