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Finding the Fourth Proportional to 11,407.83, 17,097.62 and 6,462.48

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Solution

The fourth proportional to 11,407.83, 17,097.62 and 6,462.48 is: 9,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.83 : 17,097.62 = 6,462.48 : x
  2. Step 2: Convert to fraction form
    11,407.83/17,097.62 = 6,462.48/x
  3. Step 3: Cross multiply
    11,407.83x = 17,097.62 × 6,462.48
  4. Step 4: Simplify right side
    11,407.83x = 110,492,994.99
  5. Step 5: Solve for x
    x = 110,492,994.99/11,407.83
  6. Step 6: Final answer
    x = 9,685.72

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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.