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Finding the Fourth Proportional to 25,842.06, 38,762.28 and 7,374.06

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Solution

The fourth proportional to 25,842.06, 38,762.28 and 7,374.06 is: 11,060.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.06 : 38,762.28 = 7,374.06 : x
  2. Step 2: Convert to fraction form
    25,842.06/38,762.28 = 7,374.06/x
  3. Step 3: Cross multiply
    25,842.06x = 38,762.28 × 7,374.06
  4. Step 4: Simplify right side
    25,842.06x = 285,835,378.46
  5. Step 5: Solve for x
    x = 285,835,378.46/25,842.06
  6. Step 6: Final answer
    x = 11,060.86

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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.