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Finding the Fourth Proportional to 7,110.51, 9,812.52 and 3,966.90

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Solution

The fourth proportional to 7,110.51, 9,812.52 and 3,966.90 is: 5,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.51 : 9,812.52 = 3,966.90 : x
  2. Step 2: Convert to fraction form
    7,110.51/9,812.52 = 3,966.90/x
  3. Step 3: Cross multiply
    7,110.51x = 9,812.52 × 3,966.90
  4. Step 4: Simplify right side
    7,110.51x = 38,925,285.59
  5. Step 5: Solve for x
    x = 38,925,285.59/7,110.51
  6. Step 6: Final answer
    x = 5,474.33

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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.