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Finding the Fourth Proportional to 8,551.40, 12,830.70 and 4,658.60

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Solution

The fourth proportional to 8,551.40, 12,830.70 and 4,658.60 is: 6,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,551.40 : 12,830.70 = 4,658.60 : x
  2. Step 2: Convert to fraction form
    8,551.40/12,830.70 = 4,658.60/x
  3. Step 3: Cross multiply
    8,551.40x = 12,830.70 × 4,658.60
  4. Step 4: Simplify right side
    8,551.40x = 59,773,099.02
  5. Step 5: Solve for x
    x = 59,773,099.02/8,551.40
  6. Step 6: Final answer
    x = 6,989.86

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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.