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Finding the Fourth Proportional to 10,603.19, 15,898.50 and 4,029.81

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Solution

The fourth proportional to 10,603.19, 15,898.50 and 4,029.81 is: 6,042.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.19 : 15,898.50 = 4,029.81 : x
  2. Step 2: Convert to fraction form
    10,603.19/15,898.50 = 4,029.81/x
  3. Step 3: Cross multiply
    10,603.19x = 15,898.50 × 4,029.81
  4. Step 4: Simplify right side
    10,603.19x = 64,067,934.29
  5. Step 5: Solve for x
    x = 64,067,934.29/10,603.19
  6. Step 6: Final answer
    x = 6,042.33

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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.