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Finding the Fourth Proportional to 25,751.16, 38,627.10 and 7,283.16

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Solution

The fourth proportional to 25,751.16, 38,627.10 and 7,283.16 is: 10,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,751.16 : 38,627.10 = 7,283.16 : x
  2. Step 2: Convert to fraction form
    25,751.16/38,627.10 = 7,283.16/x
  3. Step 3: Cross multiply
    25,751.16x = 38,627.10 × 7,283.16
  4. Step 4: Simplify right side
    25,751.16x = 281,327,349.64
  5. Step 5: Solve for x
    x = 281,327,349.64/25,751.16
  6. Step 6: Final answer
    x = 10,924.84

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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.