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Finding the Fourth Proportional to 7,830.08, 10,805.01 and 4,293.32

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Solution

The fourth proportional to 7,830.08, 10,805.01 and 4,293.32 is: 5,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.08 : 10,805.01 = 4,293.32 : x
  2. Step 2: Convert to fraction form
    7,830.08/10,805.01 = 4,293.32/x
  3. Step 3: Cross multiply
    7,830.08x = 10,805.01 × 4,293.32
  4. Step 4: Simplify right side
    7,830.08x = 46,389,311.51
  5. Step 5: Solve for x
    x = 46,389,311.51/7,830.08
  6. Step 6: Final answer
    x = 5,924.50

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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.