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Finding the Fourth Proportional to 25,894.96, 38,844.64 and 7,175

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Solution

The fourth proportional to 25,894.96, 38,844.64 and 7,175 is: 10,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.96 : 38,844.64 = 7,175 : x
  2. Step 2: Convert to fraction form
    25,894.96/38,844.64 = 7,175/x
  3. Step 3: Cross multiply
    25,894.96x = 38,844.64 × 7,175
  4. Step 4: Simplify right side
    25,894.96x = 278,710,292
  5. Step 5: Solve for x
    x = 278,710,292/25,894.96
  6. Step 6: Final answer
    x = 10,763.11

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