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Finding the Fourth Proportional to 7,755.28, 11,641.02 and 4,835.60

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Solution

The fourth proportional to 7,755.28, 11,641.02 and 4,835.60 is: 7,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.28 : 11,641.02 = 4,835.60 : x
  2. Step 2: Convert to fraction form
    7,755.28/11,641.02 = 4,835.60/x
  3. Step 3: Cross multiply
    7,755.28x = 11,641.02 × 4,835.60
  4. Step 4: Simplify right side
    7,755.28x = 56,291,316.31
  5. Step 5: Solve for x
    x = 56,291,316.31/7,755.28
  6. Step 6: Final answer
    x = 7,258.45

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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.