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Finding the Fourth Proportional to 6,758.81, 9,336.16 and 5,437.50

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Solution

The fourth proportional to 6,758.81, 9,336.16 and 5,437.50 is: 7,510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.81 : 9,336.16 = 5,437.50 : x
  2. Step 2: Convert to fraction form
    6,758.81/9,336.16 = 5,437.50/x
  3. Step 3: Cross multiply
    6,758.81x = 9,336.16 × 5,437.50
  4. Step 4: Simplify right side
    6,758.81x = 50,765,370
  5. Step 5: Solve for x
    x = 50,765,370/6,758.81
  6. Step 6: Final answer
    x = 7,510.99

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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.