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Finding the Fourth Proportional to 25,833, 38,749.86 and 7,365

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Solution

The fourth proportional to 25,833, 38,749.86 and 7,365 is: 11,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,833 : 38,749.86 = 7,365 : x
  2. Step 2: Convert to fraction form
    25,833/38,749.86 = 7,365/x
  3. Step 3: Cross multiply
    25,833x = 38,749.86 × 7,365
  4. Step 4: Simplify right side
    25,833x = 285,392,718.90
  5. Step 5: Solve for x
    x = 285,392,718.90/25,833
  6. Step 6: Final answer
    x = 11,047.60

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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.