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Finding the Fourth Proportional to 10,527.19, 14,527.49 and 5,811.44

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Solution

The fourth proportional to 10,527.19, 14,527.49 and 5,811.44 is: 8,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.19 : 14,527.49 = 5,811.44 : x
  2. Step 2: Convert to fraction form
    10,527.19/14,527.49 = 5,811.44/x
  3. Step 3: Cross multiply
    10,527.19x = 14,527.49 × 5,811.44
  4. Step 4: Simplify right side
    10,527.19x = 84,425,636.49
  5. Step 5: Solve for x
    x = 84,425,636.49/10,527.19
  6. Step 6: Final answer
    x = 8,019.77

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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.