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Finding the Fourth Proportional to 7,565.68, 11,347.32 and 4,783.96

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Solution

The fourth proportional to 7,565.68, 11,347.32 and 4,783.96 is: 7,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.68 : 11,347.32 = 4,783.96 : x
  2. Step 2: Convert to fraction form
    7,565.68/11,347.32 = 4,783.96/x
  3. Step 3: Cross multiply
    7,565.68x = 11,347.32 × 4,783.96
  4. Step 4: Simplify right side
    7,565.68x = 54,285,124.99
  5. Step 5: Solve for x
    x = 54,285,124.99/7,565.68
  6. Step 6: Final answer
    x = 7,175.18

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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.