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Finding the Fourth Proportional to 10,282.51, 15,403.21 and 4,728.24

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Solution

The fourth proportional to 10,282.51, 15,403.21 and 4,728.24 is: 7,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.51 : 15,403.21 = 4,728.24 : x
  2. Step 2: Convert to fraction form
    10,282.51/15,403.21 = 4,728.24/x
  3. Step 3: Cross multiply
    10,282.51x = 15,403.21 × 4,728.24
  4. Step 4: Simplify right side
    10,282.51x = 72,830,088.43
  5. Step 5: Solve for x
    x = 72,830,088.43/10,282.51
  6. Step 6: Final answer
    x = 7,082.91

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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.