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Finding the Fourth Proportional to 7,703.32, 11,554.71 and 2,771.86

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Solution

The fourth proportional to 7,703.32, 11,554.71 and 2,771.86 is: 4,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.32 : 11,554.71 = 2,771.86 : x
  2. Step 2: Convert to fraction form
    7,703.32/11,554.71 = 2,771.86/x
  3. Step 3: Cross multiply
    7,703.32x = 11,554.71 × 2,771.86
  4. Step 4: Simplify right side
    7,703.32x = 32,028,038.46
  5. Step 5: Solve for x
    x = 32,028,038.46/7,703.32
  6. Step 6: Final answer
    x = 4,157.69

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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.