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Finding the Fourth Proportional to 7,686.63, 11,518.74 and 4,173.66

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Solution

The fourth proportional to 7,686.63, 11,518.74 and 4,173.66 is: 6,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.63 : 11,518.74 = 4,173.66 : x
  2. Step 2: Convert to fraction form
    7,686.63/11,518.74 = 4,173.66/x
  3. Step 3: Cross multiply
    7,686.63x = 11,518.74 × 4,173.66
  4. Step 4: Simplify right side
    7,686.63x = 48,075,304.39
  5. Step 5: Solve for x
    x = 48,075,304.39/7,686.63
  6. Step 6: Final answer
    x = 6,254.41

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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.