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Finding the Fourth Proportional to 10,702.08, 14,767.92 and 6,511.68

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Solution

The fourth proportional to 10,702.08, 14,767.92 and 6,511.68 is: 8,985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.08 : 14,767.92 = 6,511.68 : x
  2. Step 2: Convert to fraction form
    10,702.08/14,767.92 = 6,511.68/x
  3. Step 3: Cross multiply
    10,702.08x = 14,767.92 × 6,511.68
  4. Step 4: Simplify right side
    10,702.08x = 96,163,969.31
  5. Step 5: Solve for x
    x = 96,163,969.31/10,702.08
  6. Step 6: Final answer
    x = 8,985.54

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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.