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Finding the Fourth Proportional to 10,291.70, 15,434.09 and 4,050.08

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Solution

The fourth proportional to 10,291.70, 15,434.09 and 4,050.08 is: 6,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.70 : 15,434.09 = 4,050.08 : x
  2. Step 2: Convert to fraction form
    10,291.70/15,434.09 = 4,050.08/x
  3. Step 3: Cross multiply
    10,291.70x = 15,434.09 × 4,050.08
  4. Step 4: Simplify right side
    10,291.70x = 62,509,201.81
  5. Step 5: Solve for x
    x = 62,509,201.81/10,291.70
  6. Step 6: Final answer
    x = 6,073.75

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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.