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Finding the Fourth Proportional to 8,436.64, 12,649.76 and 5,807.34

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Solution

The fourth proportional to 8,436.64, 12,649.76 and 5,807.34 is: 8,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.64 : 12,649.76 = 5,807.34 : x
  2. Step 2: Convert to fraction form
    8,436.64/12,649.76 = 5,807.34/x
  3. Step 3: Cross multiply
    8,436.64x = 12,649.76 × 5,807.34
  4. Step 4: Simplify right side
    8,436.64x = 73,461,457.24
  5. Step 5: Solve for x
    x = 73,461,457.24/8,436.64
  6. Step 6: Final answer
    x = 8,707.43

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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.