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Finding the Fourth Proportional to 10,597.60, 14,626.21 and 6,348.84

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Solution

The fourth proportional to 10,597.60, 14,626.21 and 6,348.84 is: 8,762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.60 : 14,626.21 = 6,348.84 : x
  2. Step 2: Convert to fraction form
    10,597.60/14,626.21 = 6,348.84/x
  3. Step 3: Cross multiply
    10,597.60x = 14,626.21 × 6,348.84
  4. Step 4: Simplify right side
    10,597.60x = 92,859,490.55
  5. Step 5: Solve for x
    x = 92,859,490.55/10,597.60
  6. Step 6: Final answer
    x = 8,762.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.