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Finding the Fourth Proportional to 7,703.61, 11,552.58 and 2,771.93

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Solution

The fourth proportional to 7,703.61, 11,552.58 and 2,771.93 is: 4,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.61 : 11,552.58 = 2,771.93 : x
  2. Step 2: Convert to fraction form
    7,703.61/11,552.58 = 2,771.93/x
  3. Step 3: Cross multiply
    7,703.61x = 11,552.58 × 2,771.93
  4. Step 4: Simplify right side
    7,703.61x = 32,022,885.32
  5. Step 5: Solve for x
    x = 32,022,885.32/7,703.61
  6. Step 6: Final answer
    x = 4,156.87

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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.