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Finding the Fourth Proportional to 11,572.74, 15,970.32 and 6,267.51

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Solution

The fourth proportional to 11,572.74, 15,970.32 and 6,267.51 is: 8,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.74 : 15,970.32 = 6,267.51 : x
  2. Step 2: Convert to fraction form
    11,572.74/15,970.32 = 6,267.51/x
  3. Step 3: Cross multiply
    11,572.74x = 15,970.32 × 6,267.51
  4. Step 4: Simplify right side
    11,572.74x = 100,094,140.30
  5. Step 5: Solve for x
    x = 100,094,140.30/11,572.74
  6. Step 6: Final answer
    x = 8,649.13

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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.