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Finding the Fourth Proportional to 7,447.73, 10,277.10 and 4,463.51

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Solution

The fourth proportional to 7,447.73, 10,277.10 and 4,463.51 is: 6,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.73 : 10,277.10 = 4,463.51 : x
  2. Step 2: Convert to fraction form
    7,447.73/10,277.10 = 4,463.51/x
  3. Step 3: Cross multiply
    7,447.73x = 10,277.10 × 4,463.51
  4. Step 4: Simplify right side
    7,447.73x = 45,871,887.24
  5. Step 5: Solve for x
    x = 45,871,887.24/7,447.73
  6. Step 6: Final answer
    x = 6,159.18

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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.