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Finding the Fourth Proportional to 11,572.83, 15,970.47 and 6,267.66

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Solution

The fourth proportional to 11,572.83, 15,970.47 and 6,267.66 is: 8,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.83 : 15,970.47 = 6,267.66 : x
  2. Step 2: Convert to fraction form
    11,572.83/15,970.47 = 6,267.66/x
  3. Step 3: Cross multiply
    11,572.83x = 15,970.47 × 6,267.66
  4. Step 4: Simplify right side
    11,572.83x = 100,097,476.00
  5. Step 5: Solve for x
    x = 100,097,476.00/11,572.83
  6. Step 6: Final answer
    x = 8,649.35

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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.