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Finding the Fourth Proportional to 7,534.51, 10,398.70 and 4,178.07

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Solution

The fourth proportional to 7,534.51, 10,398.70 and 4,178.07 is: 5,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.51 : 10,398.70 = 4,178.07 : x
  2. Step 2: Convert to fraction form
    7,534.51/10,398.70 = 4,178.07/x
  3. Step 3: Cross multiply
    7,534.51x = 10,398.70 × 4,178.07
  4. Step 4: Simplify right side
    7,534.51x = 43,446,496.51
  5. Step 5: Solve for x
    x = 43,446,496.51/7,534.51
  6. Step 6: Final answer
    x = 5,766.33

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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.