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Finding the Fourth Proportional to 28,486.49, 42,724.80 and 7,705.13

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Solution

The fourth proportional to 28,486.49, 42,724.80 and 7,705.13 is: 11,556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,486.49 : 42,724.80 = 7,705.13 : x
  2. Step 2: Convert to fraction form
    28,486.49/42,724.80 = 7,705.13/x
  3. Step 3: Cross multiply
    28,486.49x = 42,724.80 × 7,705.13
  4. Step 4: Simplify right side
    28,486.49x = 329,199,924.60
  5. Step 5: Solve for x
    x = 329,199,924.60/28,486.49
  6. Step 6: Final answer
    x = 11,556.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.