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Finding the Fourth Proportional to 13,085.83, 18,063.08 and 7,780.62

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Solution

The fourth proportional to 13,085.83, 18,063.08 and 7,780.62 is: 10,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.83 : 18,063.08 = 7,780.62 : x
  2. Step 2: Convert to fraction form
    13,085.83/18,063.08 = 7,780.62/x
  3. Step 3: Cross multiply
    13,085.83x = 18,063.08 × 7,780.62
  4. Step 4: Simplify right side
    13,085.83x = 140,541,961.51
  5. Step 5: Solve for x
    x = 140,541,961.51/13,085.83
  6. Step 6: Final answer
    x = 10,740.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.