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Finding the Fourth Proportional to 7,097.51, 10,642.35 and 3,294.01

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Solution

The fourth proportional to 7,097.51, 10,642.35 and 3,294.01 is: 4,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.51 : 10,642.35 = 3,294.01 : x
  2. Step 2: Convert to fraction form
    7,097.51/10,642.35 = 3,294.01/x
  3. Step 3: Cross multiply
    7,097.51x = 10,642.35 × 3,294.01
  4. Step 4: Simplify right side
    7,097.51x = 35,055,980.72
  5. Step 5: Solve for x
    x = 35,055,980.72/7,097.51
  6. Step 6: Final answer
    x = 4,939.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.