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Finding the Fourth Proportional to 25,776, 38,668.86 and 7,308

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Solution

The fourth proportional to 25,776, 38,668.86 and 7,308 is: 10,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,776 : 38,668.86 = 7,308 : x
  2. Step 2: Convert to fraction form
    25,776/38,668.86 = 7,308/x
  3. Step 3: Cross multiply
    25,776x = 38,668.86 × 7,308
  4. Step 4: Simplify right side
    25,776x = 282,592,028.88
  5. Step 5: Solve for x
    x = 282,592,028.88/25,776
  6. Step 6: Final answer
    x = 10,963.38

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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.