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Finding the Fourth Proportional to 10,133.86, 15,199.53 and 4,289.74

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Solution

The fourth proportional to 10,133.86, 15,199.53 and 4,289.74 is: 6,434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.86 : 15,199.53 = 4,289.74 : x
  2. Step 2: Convert to fraction form
    10,133.86/15,199.53 = 4,289.74/x
  3. Step 3: Cross multiply
    10,133.86x = 15,199.53 × 4,289.74
  4. Step 4: Simplify right side
    10,133.86x = 65,202,031.82
  5. Step 5: Solve for x
    x = 65,202,031.82/10,133.86
  6. Step 6: Final answer
    x = 6,434.08

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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.