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Finding the Fourth Proportional to 10,206.03, 14,085.14 and 5,730.08

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Solution

The fourth proportional to 10,206.03, 14,085.14 and 5,730.08 is: 7,907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.03 : 14,085.14 = 5,730.08 : x
  2. Step 2: Convert to fraction form
    10,206.03/14,085.14 = 5,730.08/x
  3. Step 3: Cross multiply
    10,206.03x = 14,085.14 × 5,730.08
  4. Step 4: Simplify right side
    10,206.03x = 80,708,879.94
  5. Step 5: Solve for x
    x = 80,708,879.94/10,206.03
  6. Step 6: Final answer
    x = 7,907.96

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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.