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Finding the Fourth Proportional to 10,030.86, 15,039.72 and 5,093.64

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Solution

The fourth proportional to 10,030.86, 15,039.72 and 5,093.64 is: 7,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.86 : 15,039.72 = 5,093.64 : x
  2. Step 2: Convert to fraction form
    10,030.86/15,039.72 = 5,093.64/x
  3. Step 3: Cross multiply
    10,030.86x = 15,039.72 × 5,093.64
  4. Step 4: Simplify right side
    10,030.86x = 76,606,919.38
  5. Step 5: Solve for x
    x = 76,606,919.38/10,030.86
  6. Step 6: Final answer
    x = 7,637.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.