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Finding the Fourth Proportional to 10,527.16, 14,527.52 and 5,811.44

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Solution

The fourth proportional to 10,527.16, 14,527.52 and 5,811.44 is: 8,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.16 : 14,527.52 = 5,811.44 : x
  2. Step 2: Convert to fraction form
    10,527.16/14,527.52 = 5,811.44/x
  3. Step 3: Cross multiply
    10,527.16x = 14,527.52 × 5,811.44
  4. Step 4: Simplify right side
    10,527.16x = 84,425,810.83
  5. Step 5: Solve for x
    x = 84,425,810.83/10,527.16
  6. Step 6: Final answer
    x = 8,019.81

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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.