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Finding the Fourth Proportional to 8,032.40, 12,059.40 and 5,123.60

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Solution

The fourth proportional to 8,032.40, 12,059.40 and 5,123.60 is: 7,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.40 : 12,059.40 = 5,123.60 : x
  2. Step 2: Convert to fraction form
    8,032.40/12,059.40 = 5,123.60/x
  3. Step 3: Cross multiply
    8,032.40x = 12,059.40 × 5,123.60
  4. Step 4: Simplify right side
    8,032.40x = 61,787,541.84
  5. Step 5: Solve for x
    x = 61,787,541.84/8,032.40
  6. Step 6: Final answer
    x = 7,692.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.