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Finding the Fourth Proportional to 10,505.79, 15,758.66 and 4,880.38

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Solution

The fourth proportional to 10,505.79, 15,758.66 and 4,880.38 is: 7,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.79 : 15,758.66 = 4,880.38 : x
  2. Step 2: Convert to fraction form
    10,505.79/15,758.66 = 4,880.38/x
  3. Step 3: Cross multiply
    10,505.79x = 15,758.66 × 4,880.38
  4. Step 4: Simplify right side
    10,505.79x = 76,908,249.09
  5. Step 5: Solve for x
    x = 76,908,249.09/10,505.79
  6. Step 6: Final answer
    x = 7,320.56

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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.