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Finding the Fourth Proportional to 10,527.45, 14,527.86 and 5,811.72

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Solution

The fourth proportional to 10,527.45, 14,527.86 and 5,811.72 is: 8,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.45 : 14,527.86 = 5,811.72 : x
  2. Step 2: Convert to fraction form
    10,527.45/14,527.86 = 5,811.72/x
  3. Step 3: Cross multiply
    10,527.45x = 14,527.86 × 5,811.72
  4. Step 4: Simplify right side
    10,527.45x = 84,431,854.52
  5. Step 5: Solve for x
    x = 84,431,854.52/10,527.45
  6. Step 6: Final answer
    x = 8,020.16

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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.