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Finding the Fourth Proportional to 7,537.06, 11,303.28 and 5,212

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Solution

The fourth proportional to 7,537.06, 11,303.28 and 5,212 is: 7,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.06 : 11,303.28 = 5,212 : x
  2. Step 2: Convert to fraction form
    7,537.06/11,303.28 = 5,212/x
  3. Step 3: Cross multiply
    7,537.06x = 11,303.28 × 5,212
  4. Step 4: Simplify right side
    7,537.06x = 58,912,669.30
  5. Step 5: Solve for x
    x = 58,912,669.30/7,537.06
  6. Step 6: Final answer
    x = 7,816.40

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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.