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Finding the Fourth Proportional to 12,526.94, 17,285.91 and 7,490.16

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Solution

The fourth proportional to 12,526.94, 17,285.91 and 7,490.16 is: 10,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.94 : 17,285.91 = 7,490.16 : x
  2. Step 2: Convert to fraction form
    12,526.94/17,285.91 = 7,490.16/x
  3. Step 3: Cross multiply
    12,526.94x = 17,285.91 × 7,490.16
  4. Step 4: Simplify right side
    12,526.94x = 129,474,231.65
  5. Step 5: Solve for x
    x = 129,474,231.65/12,526.94
  6. Step 6: Final answer
    x = 10,335.67

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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.