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Finding the Fourth Proportional to 10,065.70, 15,098.69 and 3,045.77

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Solution

The fourth proportional to 10,065.70, 15,098.69 and 3,045.77 is: 4,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.70 : 15,098.69 = 3,045.77 : x
  2. Step 2: Convert to fraction form
    10,065.70/15,098.69 = 3,045.77/x
  3. Step 3: Cross multiply
    10,065.70x = 15,098.69 × 3,045.77
  4. Step 4: Simplify right side
    10,065.70x = 45,987,046.32
  5. Step 5: Solve for x
    x = 45,987,046.32/10,065.70
  6. Step 6: Final answer
    x = 4,568.69

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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.