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Finding the Fourth Proportional to 26,178, 39,274.56 and 7,710

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Solution

The fourth proportional to 26,178, 39,274.56 and 7,710 is: 11,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,178 : 39,274.56 = 7,710 : x
  2. Step 2: Convert to fraction form
    26,178/39,274.56 = 7,710/x
  3. Step 3: Cross multiply
    26,178x = 39,274.56 × 7,710
  4. Step 4: Simplify right side
    26,178x = 302,806,857.60
  5. Step 5: Solve for x
    x = 302,806,857.60/26,178
  6. Step 6: Final answer
    x = 11,567.23

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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.