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Finding the Fourth Proportional to 10,527.91, 15,783.47 and 6,080.53

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Solution

The fourth proportional to 10,527.91, 15,783.47 and 6,080.53 is: 9,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.91 : 15,783.47 = 6,080.53 : x
  2. Step 2: Convert to fraction form
    10,527.91/15,783.47 = 6,080.53/x
  3. Step 3: Cross multiply
    10,527.91x = 15,783.47 × 6,080.53
  4. Step 4: Simplify right side
    10,527.91x = 95,971,783.92
  5. Step 5: Solve for x
    x = 95,971,783.92/10,527.91
  6. Step 6: Final answer
    x = 9,115.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.