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Finding the Fourth Proportional to 11,386.45, 17,074.20 and 6,454.77

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Solution

The fourth proportional to 11,386.45, 17,074.20 and 6,454.77 is: 9,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.45 : 17,074.20 = 6,454.77 : x
  2. Step 2: Convert to fraction form
    11,386.45/17,074.20 = 6,454.77/x
  3. Step 3: Cross multiply
    11,386.45x = 17,074.20 × 6,454.77
  4. Step 4: Simplify right side
    11,386.45x = 110,209,994.11
  5. Step 5: Solve for x
    x = 110,209,994.11/11,386.45
  6. Step 6: Final answer
    x = 9,679.05

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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.