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Finding the Fourth Proportional to 10,853.72, 14,980.08 and 6,377.64

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Solution

The fourth proportional to 10,853.72, 14,980.08 and 6,377.64 is: 8,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.72 : 14,980.08 = 6,377.64 : x
  2. Step 2: Convert to fraction form
    10,853.72/14,980.08 = 6,377.64/x
  3. Step 3: Cross multiply
    10,853.72x = 14,980.08 × 6,377.64
  4. Step 4: Simplify right side
    10,853.72x = 95,537,557.41
  5. Step 5: Solve for x
    x = 95,537,557.41/10,853.72
  6. Step 6: Final answer
    x = 8,802.29

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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.