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Finding the Fourth Proportional to 11,572.94, 15,970.65 and 6,267.86

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Solution

The fourth proportional to 11,572.94, 15,970.65 and 6,267.86 is: 8,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.94 : 15,970.65 = 6,267.86 : x
  2. Step 2: Convert to fraction form
    11,572.94/15,970.65 = 6,267.86/x
  3. Step 3: Cross multiply
    11,572.94x = 15,970.65 × 6,267.86
  4. Step 4: Simplify right side
    11,572.94x = 100,101,798.31
  5. Step 5: Solve for x
    x = 100,101,798.31/11,572.94
  6. Step 6: Final answer
    x = 8,649.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.