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Finding the Fourth Proportional to 8,451.42, 12,615.56 and 7,758.06

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Solution

The fourth proportional to 8,451.42, 12,615.56 and 7,758.06 is: 11,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.42 : 12,615.56 = 7,758.06 : x
  2. Step 2: Convert to fraction form
    8,451.42/12,615.56 = 7,758.06/x
  3. Step 3: Cross multiply
    8,451.42x = 12,615.56 × 7,758.06
  4. Step 4: Simplify right side
    8,451.42x = 97,872,232.62
  5. Step 5: Solve for x
    x = 97,872,232.62/8,451.42
  6. Step 6: Final answer
    x = 11,580.57

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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.