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Finding the Fourth Proportional to 7,608.58, 11,416.65 and 5,137.98

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Solution

The fourth proportional to 7,608.58, 11,416.65 and 5,137.98 is: 7,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.58 : 11,416.65 = 5,137.98 : x
  2. Step 2: Convert to fraction form
    7,608.58/11,416.65 = 5,137.98/x
  3. Step 3: Cross multiply
    7,608.58x = 11,416.65 × 5,137.98
  4. Step 4: Simplify right side
    7,608.58x = 58,658,521.51
  5. Step 5: Solve for x
    x = 58,658,521.51/7,608.58
  6. Step 6: Final answer
    x = 7,709.52

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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.