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Finding the Fourth Proportional to 11,650.47, 16,074.12 and 10,527.81

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Solution

The fourth proportional to 11,650.47, 16,074.12 and 10,527.81 is: 14,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.47 : 16,074.12 = 10,527.81 : x
  2. Step 2: Convert to fraction form
    11,650.47/16,074.12 = 10,527.81/x
  3. Step 3: Cross multiply
    11,650.47x = 16,074.12 × 10,527.81
  4. Step 4: Simplify right side
    11,650.47x = 169,225,281.28
  5. Step 5: Solve for x
    x = 169,225,281.28/11,650.47
  6. Step 6: Final answer
    x = 14,525.19

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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.