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Finding the Fourth Proportional to 5,106.06, 7,047.12 and 3,117.76

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Solution

The fourth proportional to 5,106.06, 7,047.12 and 3,117.76 is: 4,302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.06 : 7,047.12 = 3,117.76 : x
  2. Step 2: Convert to fraction form
    5,106.06/7,047.12 = 3,117.76/x
  3. Step 3: Cross multiply
    5,106.06x = 7,047.12 × 3,117.76
  4. Step 4: Simplify right side
    5,106.06x = 21,971,228.85
  5. Step 5: Solve for x
    x = 21,971,228.85/5,106.06
  6. Step 6: Final answer
    x = 4,302.97

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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.