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Finding the Fourth Proportional to 6,106.60, 8,427.10 and 3,312.10

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Solution

The fourth proportional to 6,106.60, 8,427.10 and 3,312.10 is: 4,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.60 : 8,427.10 = 3,312.10 : x
  2. Step 2: Convert to fraction form
    6,106.60/8,427.10 = 3,312.10/x
  3. Step 3: Cross multiply
    6,106.60x = 8,427.10 × 3,312.10
  4. Step 4: Simplify right side
    6,106.60x = 27,911,397.91
  5. Step 5: Solve for x
    x = 27,911,397.91/6,106.60
  6. Step 6: Final answer
    x = 4,570.69

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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.