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Finding the Fourth Proportional to 13,085.85, 18,052.14 and 7,776.93

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Solution

The fourth proportional to 13,085.85, 18,052.14 and 7,776.93 is: 10,728.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.85 : 18,052.14 = 7,776.93 : x
  2. Step 2: Convert to fraction form
    13,085.85/18,052.14 = 7,776.93/x
  3. Step 3: Cross multiply
    13,085.85x = 18,052.14 × 7,776.93
  4. Step 4: Simplify right side
    13,085.85x = 140,390,229.13
  5. Step 5: Solve for x
    x = 140,390,229.13/13,085.85
  6. Step 6: Final answer
    x = 10,728.40

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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.