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Finding the Fourth Proportional to 10,246.86, 15,369.54 and 4,005.72

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Solution

The fourth proportional to 10,246.86, 15,369.54 and 4,005.72 is: 6,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.86 : 15,369.54 = 4,005.72 : x
  2. Step 2: Convert to fraction form
    10,246.86/15,369.54 = 4,005.72/x
  3. Step 3: Cross multiply
    10,246.86x = 15,369.54 × 4,005.72
  4. Step 4: Simplify right side
    10,246.86x = 61,566,073.77
  5. Step 5: Solve for x
    x = 61,566,073.77/10,246.86
  6. Step 6: Final answer
    x = 6,008.29

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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.