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Finding the Fourth Proportional to 11,461.83, 17,225.96 and 7,590.84

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Solution

The fourth proportional to 11,461.83, 17,225.96 and 7,590.84 is: 11,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.83 : 17,225.96 = 7,590.84 : x
  2. Step 2: Convert to fraction form
    11,461.83/17,225.96 = 7,590.84/x
  3. Step 3: Cross multiply
    11,461.83x = 17,225.96 × 7,590.84
  4. Step 4: Simplify right side
    11,461.83x = 130,759,468.25
  5. Step 5: Solve for x
    x = 130,759,468.25/11,461.83
  6. Step 6: Final answer
    x = 11,408.25

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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.