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Finding the Fourth Proportional to 7,830.10, 10,805.53 and 4,293.54

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Solution

The fourth proportional to 7,830.10, 10,805.53 and 4,293.54 is: 5,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.10 : 10,805.53 = 4,293.54 : x
  2. Step 2: Convert to fraction form
    7,830.10/10,805.53 = 4,293.54/x
  3. Step 3: Cross multiply
    7,830.10x = 10,805.53 × 4,293.54
  4. Step 4: Simplify right side
    7,830.10x = 46,393,991.56
  5. Step 5: Solve for x
    x = 46,393,991.56/7,830.10
  6. Step 6: Final answer
    x = 5,925.08

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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.