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Finding the Fourth Proportional to 7,762.23, 11,654.28 and 7,409.88

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Solution

The fourth proportional to 7,762.23, 11,654.28 and 7,409.88 is: 11,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.23 : 11,654.28 = 7,409.88 : x
  2. Step 2: Convert to fraction form
    7,762.23/11,654.28 = 7,409.88/x
  3. Step 3: Cross multiply
    7,762.23x = 11,654.28 × 7,409.88
  4. Step 4: Simplify right side
    7,762.23x = 86,356,816.29
  5. Step 5: Solve for x
    x = 86,356,816.29/7,762.23
  6. Step 6: Final answer
    x = 11,125.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.