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Finding the Fourth Proportional to 8,674.56, 12,942 and 7,577.28

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Solution

The fourth proportional to 8,674.56, 12,942 and 7,577.28 is: 11,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.56 : 12,942 = 7,577.28 : x
  2. Step 2: Convert to fraction form
    8,674.56/12,942 = 7,577.28/x
  3. Step 3: Cross multiply
    8,674.56x = 12,942 × 7,577.28
  4. Step 4: Simplify right side
    8,674.56x = 98,065,157.76
  5. Step 5: Solve for x
    x = 98,065,157.76/8,674.56
  6. Step 6: Final answer
    x = 11,304.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.