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Finding the Fourth Proportional to 8,470.40, 12,705.60 and 3,537.35

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Solution

The fourth proportional to 8,470.40, 12,705.60 and 3,537.35 is: 5,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.40 : 12,705.60 = 3,537.35 : x
  2. Step 2: Convert to fraction form
    8,470.40/12,705.60 = 3,537.35/x
  3. Step 3: Cross multiply
    8,470.40x = 12,705.60 × 3,537.35
  4. Step 4: Simplify right side
    8,470.40x = 44,944,090.63
  5. Step 5: Solve for x
    x = 44,944,090.63/8,470.40
  6. Step 6: Final answer
    x = 5,306.02

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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.