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Finding the Fourth Proportional to 7,509.96, 11,250.36 and 4,905

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Solution

The fourth proportional to 7,509.96, 11,250.36 and 4,905 is: 7,347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.96 : 11,250.36 = 4,905 : x
  2. Step 2: Convert to fraction form
    7,509.96/11,250.36 = 4,905/x
  3. Step 3: Cross multiply
    7,509.96x = 11,250.36 × 4,905
  4. Step 4: Simplify right side
    7,509.96x = 55,183,015.80
  5. Step 5: Solve for x
    x = 55,183,015.80/7,509.96
  6. Step 6: Final answer
    x = 7,347.98

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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.