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Finding the Fourth Proportional to 7,720.34, 11,580.05 and 4,759.35

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Solution

The fourth proportional to 7,720.34, 11,580.05 and 4,759.35 is: 7,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.34 : 11,580.05 = 4,759.35 : x
  2. Step 2: Convert to fraction form
    7,720.34/11,580.05 = 4,759.35/x
  3. Step 3: Cross multiply
    7,720.34x = 11,580.05 × 4,759.35
  4. Step 4: Simplify right side
    7,720.34x = 55,113,487.17
  5. Step 5: Solve for x
    x = 55,113,487.17/7,720.34
  6. Step 6: Final answer
    x = 7,138.74

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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.