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Finding the Fourth Proportional to 7,490.40, 11,157.08 and 7,111.32

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Solution

The fourth proportional to 7,490.40, 11,157.08 and 7,111.32 is: 10,592.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490.40 : 11,157.08 = 7,111.32 : x
  2. Step 2: Convert to fraction form
    7,490.40/11,157.08 = 7,111.32/x
  3. Step 3: Cross multiply
    7,490.40x = 11,157.08 × 7,111.32
  4. Step 4: Simplify right side
    7,490.40x = 79,341,566.15
  5. Step 5: Solve for x
    x = 79,341,566.15/7,490.40
  6. Step 6: Final answer
    x = 10,592.43

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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.