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Finding the Fourth Proportional to 7,565.84, 11,349.58 and 3,185.36

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Solution

The fourth proportional to 7,565.84, 11,349.58 and 3,185.36 is: 4,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.84 : 11,349.58 = 3,185.36 : x
  2. Step 2: Convert to fraction form
    7,565.84/11,349.58 = 3,185.36/x
  3. Step 3: Cross multiply
    7,565.84x = 11,349.58 × 3,185.36
  4. Step 4: Simplify right side
    7,565.84x = 36,152,498.15
  5. Step 5: Solve for x
    x = 36,152,498.15/7,565.84
  6. Step 6: Final answer
    x = 4,778.39

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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.