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Finding the Fourth Proportional to 10,207.80, 14,085.63 and 5,730.93

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Solution

The fourth proportional to 10,207.80, 14,085.63 and 5,730.93 is: 7,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.80 : 14,085.63 = 5,730.93 : x
  2. Step 2: Convert to fraction form
    10,207.80/14,085.63 = 5,730.93/x
  3. Step 3: Cross multiply
    10,207.80x = 14,085.63 × 5,730.93
  4. Step 4: Simplify right side
    10,207.80x = 80,723,759.54
  5. Step 5: Solve for x
    x = 80,723,759.54/10,207.80
  6. Step 6: Final answer
    x = 7,908.05

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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.