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Finding the Fourth Proportional to 10,505.51, 15,758.42 and 3,110.70

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Solution

The fourth proportional to 10,505.51, 15,758.42 and 3,110.70 is: 4,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.51 : 15,758.42 = 3,110.70 : x
  2. Step 2: Convert to fraction form
    10,505.51/15,758.42 = 3,110.70/x
  3. Step 3: Cross multiply
    10,505.51x = 15,758.42 × 3,110.70
  4. Step 4: Simplify right side
    10,505.51x = 49,019,701.54
  5. Step 5: Solve for x
    x = 49,019,701.54/10,505.51
  6. Step 6: Final answer
    x = 4,666.10

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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.