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Finding the Fourth Proportional to 7,442.65, 11,098.31 and 7,376.05

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Solution

The fourth proportional to 7,442.65, 11,098.31 and 7,376.05 is: 10,999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.65 : 11,098.31 = 7,376.05 : x
  2. Step 2: Convert to fraction form
    7,442.65/11,098.31 = 7,376.05/x
  3. Step 3: Cross multiply
    7,442.65x = 11,098.31 × 7,376.05
  4. Step 4: Simplify right side
    7,442.65x = 81,861,689.48
  5. Step 5: Solve for x
    x = 81,861,689.48/7,442.65
  6. Step 6: Final answer
    x = 10,999.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.