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Finding the Fourth Proportional to 7,728.88, 10,666.10 and 4,371.63

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Solution

The fourth proportional to 7,728.88, 10,666.10 and 4,371.63 is: 6,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.88 : 10,666.10 = 4,371.63 : x
  2. Step 2: Convert to fraction form
    7,728.88/10,666.10 = 4,371.63/x
  3. Step 3: Cross multiply
    7,728.88x = 10,666.10 × 4,371.63
  4. Step 4: Simplify right side
    7,728.88x = 46,628,167.55
  5. Step 5: Solve for x
    x = 46,628,167.55/7,728.88
  6. Step 6: Final answer
    x = 6,032.98

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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.