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Finding the Fourth Proportional to 7,760.10, 10,708.62 and 4,403.63

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Solution

The fourth proportional to 7,760.10, 10,708.62 and 4,403.63 is: 6,076.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.10 : 10,708.62 = 4,403.63 : x
  2. Step 2: Convert to fraction form
    7,760.10/10,708.62 = 4,403.63/x
  3. Step 3: Cross multiply
    7,760.10x = 10,708.62 × 4,403.63
  4. Step 4: Simplify right side
    7,760.10x = 47,156,746.75
  5. Step 5: Solve for x
    x = 47,156,746.75/7,760.10
  6. Step 6: Final answer
    x = 6,076.82

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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.