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Finding the Fourth Proportional to 25,830.61, 38,741.37 and 7,106.13

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Solution

The fourth proportional to 25,830.61, 38,741.37 and 7,106.13 is: 10,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830.61 : 38,741.37 = 7,106.13 : x
  2. Step 2: Convert to fraction form
    25,830.61/38,741.37 = 7,106.13/x
  3. Step 3: Cross multiply
    25,830.61x = 38,741.37 × 7,106.13
  4. Step 4: Simplify right side
    25,830.61x = 275,301,224.92
  5. Step 5: Solve for x
    x = 275,301,224.92/25,830.61
  6. Step 6: Final answer
    x = 10,657.94

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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.