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Finding the Fourth Proportional to 10,527.33, 14,527.33 and 5,811.51

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Solution

The fourth proportional to 10,527.33, 14,527.33 and 5,811.51 is: 8,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.33 : 14,527.33 = 5,811.51 : x
  2. Step 2: Convert to fraction form
    10,527.33/14,527.33 = 5,811.51/x
  3. Step 3: Cross multiply
    10,527.33x = 14,527.33 × 5,811.51
  4. Step 4: Simplify right side
    10,527.33x = 84,425,723.57
  5. Step 5: Solve for x
    x = 84,425,723.57/10,527.33
  6. Step 6: Final answer
    x = 8,019.67

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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.