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Finding the Fourth Proportional to 7,019.88, 9,686.58 and 4,187.40

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Solution

The fourth proportional to 7,019.88, 9,686.58 and 4,187.40 is: 5,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019.88 : 9,686.58 = 4,187.40 : x
  2. Step 2: Convert to fraction form
    7,019.88/9,686.58 = 4,187.40/x
  3. Step 3: Cross multiply
    7,019.88x = 9,686.58 × 4,187.40
  4. Step 4: Simplify right side
    7,019.88x = 40,561,585.09
  5. Step 5: Solve for x
    x = 40,561,585.09/7,019.88
  6. Step 6: Final answer
    x = 5,778.10

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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.