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Finding the Fourth Proportional to 25,971.98, 38,957.78 and 7,252.00

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Solution

The fourth proportional to 25,971.98, 38,957.78 and 7,252.00 is: 10,877.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,971.98 : 38,957.78 = 7,252.00 : x
  2. Step 2: Convert to fraction form
    25,971.98/38,957.78 = 7,252.00/x
  3. Step 3: Cross multiply
    25,971.98x = 38,957.78 × 7,252.00
  4. Step 4: Simplify right side
    25,971.98x = 282,521,741.30
  5. Step 5: Solve for x
    x = 282,521,741.30/25,971.98
  6. Step 6: Final answer
    x = 10,877.95

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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.