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Finding the Fourth Proportional to 10,406.30, 15,550.62 and 7,490.30

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Solution

The fourth proportional to 10,406.30, 15,550.62 and 7,490.30 is: 11,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.30 : 15,550.62 = 7,490.30 : x
  2. Step 2: Convert to fraction form
    10,406.30/15,550.62 = 7,490.30/x
  3. Step 3: Cross multiply
    10,406.30x = 15,550.62 × 7,490.30
  4. Step 4: Simplify right side
    10,406.30x = 116,478,771.53
  5. Step 5: Solve for x
    x = 116,478,771.53/10,406.30
  6. Step 6: Final answer
    x = 11,193.10

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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.