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Finding the Fourth Proportional to 7,113.75, 10,684.46 and 5,798.47

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Solution

The fourth proportional to 7,113.75, 10,684.46 and 5,798.47 is: 8,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.75 : 10,684.46 = 5,798.47 : x
  2. Step 2: Convert to fraction form
    7,113.75/10,684.46 = 5,798.47/x
  3. Step 3: Cross multiply
    7,113.75x = 10,684.46 × 5,798.47
  4. Step 4: Simplify right side
    7,113.75x = 61,953,535.27
  5. Step 5: Solve for x
    x = 61,953,535.27/7,113.75
  6. Step 6: Final answer
    x = 8,708.98

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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.