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Finding the Fourth Proportional to 7,720.90, 11,584.13 and 3,038.32

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Solution

The fourth proportional to 7,720.90, 11,584.13 and 3,038.32 is: 4,558.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.90 : 11,584.13 = 3,038.32 : x
  2. Step 2: Convert to fraction form
    7,720.90/11,584.13 = 3,038.32/x
  3. Step 3: Cross multiply
    7,720.90x = 11,584.13 × 3,038.32
  4. Step 4: Simplify right side
    7,720.90x = 35,196,293.86
  5. Step 5: Solve for x
    x = 35,196,293.86/7,720.90
  6. Step 6: Final answer
    x = 4,558.57

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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.