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Finding the Fourth Proportional to 7,680.66, 10,595.01 and 5,192.34

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Solution

The fourth proportional to 7,680.66, 10,595.01 and 5,192.34 is: 7,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.66 : 10,595.01 = 5,192.34 : x
  2. Step 2: Convert to fraction form
    7,680.66/10,595.01 = 5,192.34/x
  3. Step 3: Cross multiply
    7,680.66x = 10,595.01 × 5,192.34
  4. Step 4: Simplify right side
    7,680.66x = 55,012,894.22
  5. Step 5: Solve for x
    x = 55,012,894.22/7,680.66
  6. Step 6: Final answer
    x = 7,162.52

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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.