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Finding the Fourth Proportional to 10,420.34, 15,630.58 and 3,494.84

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Solution

The fourth proportional to 10,420.34, 15,630.58 and 3,494.84 is: 5,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.34 : 15,630.58 = 3,494.84 : x
  2. Step 2: Convert to fraction form
    10,420.34/15,630.58 = 3,494.84/x
  3. Step 3: Cross multiply
    10,420.34x = 15,630.58 × 3,494.84
  4. Step 4: Simplify right side
    10,420.34x = 54,626,376.21
  5. Step 5: Solve for x
    x = 54,626,376.21/10,420.34
  6. Step 6: Final answer
    x = 5,242.28

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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.