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Finding the Fourth Proportional to 10,602.36, 14,620.50 and 6,409.80

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Solution

The fourth proportional to 10,602.36, 14,620.50 and 6,409.80 is: 8,839.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.36 : 14,620.50 = 6,409.80 : x
  2. Step 2: Convert to fraction form
    10,602.36/14,620.50 = 6,409.80/x
  3. Step 3: Cross multiply
    10,602.36x = 14,620.50 × 6,409.80
  4. Step 4: Simplify right side
    10,602.36x = 93,714,480.90
  5. Step 5: Solve for x
    x = 93,714,480.90/10,602.36
  6. Step 6: Final answer
    x = 8,839.02

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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.