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Finding the Fourth Proportional to 6,095.63, 8,411.76 and 3,407.00

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Solution

The fourth proportional to 6,095.63, 8,411.76 and 3,407.00 is: 4,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.63 : 8,411.76 = 3,407.00 : x
  2. Step 2: Convert to fraction form
    6,095.63/8,411.76 = 3,407.00/x
  3. Step 3: Cross multiply
    6,095.63x = 8,411.76 × 3,407.00
  4. Step 4: Simplify right side
    6,095.63x = 28,658,824.26
  5. Step 5: Solve for x
    x = 28,658,824.26/6,095.63
  6. Step 6: Final answer
    x = 4,701.54

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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.