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Finding the Fourth Proportional to 10,728, 14,799.60 and 7,585.92

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Solution

The fourth proportional to 10,728, 14,799.60 and 7,585.92 is: 10,465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728 : 14,799.60 = 7,585.92 : x
  2. Step 2: Convert to fraction form
    10,728/14,799.60 = 7,585.92/x
  3. Step 3: Cross multiply
    10,728x = 14,799.60 × 7,585.92
  4. Step 4: Simplify right side
    10,728x = 112,268,581.63
  5. Step 5: Solve for x
    x = 112,268,581.63/10,728
  6. Step 6: Final answer
    x = 10,465.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.