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Finding the Fourth Proportional to 8,349.94, 12,527.53 and 5,021.83

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Solution

The fourth proportional to 8,349.94, 12,527.53 and 5,021.83 is: 7,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.94 : 12,527.53 = 5,021.83 : x
  2. Step 2: Convert to fraction form
    8,349.94/12,527.53 = 5,021.83/x
  3. Step 3: Cross multiply
    8,349.94x = 12,527.53 × 5,021.83
  4. Step 4: Simplify right side
    8,349.94x = 62,911,082.11
  5. Step 5: Solve for x
    x = 62,911,082.11/8,349.94
  6. Step 6: Final answer
    x = 7,534.32

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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.