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Finding the Fourth Proportional to 10,688, 14,751.06 and 6,495.44

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Solution

The fourth proportional to 10,688, 14,751.06 and 6,495.44 is: 8,964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688 : 14,751.06 = 6,495.44 : x
  2. Step 2: Convert to fraction form
    10,688/14,751.06 = 6,495.44/x
  3. Step 3: Cross multiply
    10,688x = 14,751.06 × 6,495.44
  4. Step 4: Simplify right side
    10,688x = 95,814,625.17
  5. Step 5: Solve for x
    x = 95,814,625.17/10,688
  6. Step 6: Final answer
    x = 8,964.69

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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.