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Finding the Fourth Proportional to 10,527.46, 14,527.61 and 5,811.64

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Solution

The fourth proportional to 10,527.46, 14,527.61 and 5,811.64 is: 8,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.46 : 14,527.61 = 5,811.64 : x
  2. Step 2: Convert to fraction form
    10,527.46/14,527.61 = 5,811.64/x
  3. Step 3: Cross multiply
    10,527.46x = 14,527.61 × 5,811.64
  4. Step 4: Simplify right side
    10,527.46x = 84,429,166.74
  5. Step 5: Solve for x
    x = 84,429,166.74/10,527.46
  6. Step 6: Final answer
    x = 8,019.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.