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Finding the Fourth Proportional to 10,312.21, 14,230.86 and 5,596.49

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Solution

The fourth proportional to 10,312.21, 14,230.86 and 5,596.49 is: 7,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.21 : 14,230.86 = 5,596.49 : x
  2. Step 2: Convert to fraction form
    10,312.21/14,230.86 = 5,596.49/x
  3. Step 3: Cross multiply
    10,312.21x = 14,230.86 × 5,596.49
  4. Step 4: Simplify right side
    10,312.21x = 79,642,851.69
  5. Step 5: Solve for x
    x = 79,642,851.69/10,312.21
  6. Step 6: Final answer
    x = 7,723.16

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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.