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Finding the Fourth Proportional to 10,527.03, 14,527.42 and 5,811.31

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Solution

The fourth proportional to 10,527.03, 14,527.42 and 5,811.31 is: 8,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.03 : 14,527.42 = 5,811.31 : x
  2. Step 2: Convert to fraction form
    10,527.03/14,527.42 = 5,811.31/x
  3. Step 3: Cross multiply
    10,527.03x = 14,527.42 × 5,811.31
  4. Step 4: Simplify right side
    10,527.03x = 84,423,341.12
  5. Step 5: Solve for x
    x = 84,423,341.12/10,527.03
  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.