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Finding the Fourth Proportional to 11,232.49, 16,853.10 and 4,657

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Solution

The fourth proportional to 11,232.49, 16,853.10 and 4,657 is: 6,987.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.49 : 16,853.10 = 4,657 : x
  2. Step 2: Convert to fraction form
    11,232.49/16,853.10 = 4,657/x
  3. Step 3: Cross multiply
    11,232.49x = 16,853.10 × 4,657
  4. Step 4: Simplify right side
    11,232.49x = 78,484,886.70
  5. Step 5: Solve for x
    x = 78,484,886.70/11,232.49
  6. Step 6: Final answer
    x = 6,987.31

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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.