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Finding the Fourth Proportional to 8,341.72, 11,506.56 and 5,509.12

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Solution

The fourth proportional to 8,341.72, 11,506.56 and 5,509.12 is: 7,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.72 : 11,506.56 = 5,509.12 : x
  2. Step 2: Convert to fraction form
    8,341.72/11,506.56 = 5,509.12/x
  3. Step 3: Cross multiply
    8,341.72x = 11,506.56 × 5,509.12
  4. Step 4: Simplify right side
    8,341.72x = 63,391,019.83
  5. Step 5: Solve for x
    x = 63,391,019.83/8,341.72
  6. Step 6: Final answer
    x = 7,599.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.