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Finding the Fourth Proportional to 8,140.49, 12,271.73 and 7,597.98

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Solution

The fourth proportional to 8,140.49, 12,271.73 and 7,597.98 is: 11,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.49 : 12,271.73 = 7,597.98 : x
  2. Step 2: Convert to fraction form
    8,140.49/12,271.73 = 7,597.98/x
  3. Step 3: Cross multiply
    8,140.49x = 12,271.73 × 7,597.98
  4. Step 4: Simplify right side
    8,140.49x = 93,240,378.10
  5. Step 5: Solve for x
    x = 93,240,378.10/8,140.49
  6. Step 6: Final answer
    x = 11,453.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.