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Finding the Fourth Proportional to 27,602.54, 41,397.93 and 7,875.80

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Solution

The fourth proportional to 27,602.54, 41,397.93 and 7,875.80 is: 11,812.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.54 : 41,397.93 = 7,875.80 : x
  2. Step 2: Convert to fraction form
    27,602.54/41,397.93 = 7,875.80/x
  3. Step 3: Cross multiply
    27,602.54x = 41,397.93 × 7,875.80
  4. Step 4: Simplify right side
    27,602.54x = 326,041,817.09
  5. Step 5: Solve for x
    x = 326,041,817.09/27,602.54
  6. Step 6: Final answer
    x = 11,812.02

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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.