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Finding the Fourth Proportional to 6,405.08, 8,835.65 and 5,211.40

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Solution

The fourth proportional to 6,405.08, 8,835.65 and 5,211.40 is: 7,189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.08 : 8,835.65 = 5,211.40 : x
  2. Step 2: Convert to fraction form
    6,405.08/8,835.65 = 5,211.40/x
  3. Step 3: Cross multiply
    6,405.08x = 8,835.65 × 5,211.40
  4. Step 4: Simplify right side
    6,405.08x = 46,046,117.95
  5. Step 5: Solve for x
    x = 46,046,117.95/6,405.08
  6. Step 6: Final answer
    x = 7,189.00

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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.