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Finding the Fourth Proportional to 6,095.61, 8,411.76 and 3,406.76

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Solution

The fourth proportional to 6,095.61, 8,411.76 and 3,406.76 is: 4,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.61 : 8,411.76 = 3,406.76 : x
  2. Step 2: Convert to fraction form
    6,095.61/8,411.76 = 3,406.76/x
  3. Step 3: Cross multiply
    6,095.61x = 8,411.76 × 3,406.76
  4. Step 4: Simplify right side
    6,095.61x = 28,656,830.46
  5. Step 5: Solve for x
    x = 28,656,830.46/6,095.61
  6. Step 6: Final answer
    x = 4,701.22

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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.