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Finding the Fourth Proportional to 7,730.48, 10,663.98 and 5,493.26

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Solution

The fourth proportional to 7,730.48, 10,663.98 and 5,493.26 is: 7,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.48 : 10,663.98 = 5,493.26 : x
  2. Step 2: Convert to fraction form
    7,730.48/10,663.98 = 5,493.26/x
  3. Step 3: Cross multiply
    7,730.48x = 10,663.98 × 5,493.26
  4. Step 4: Simplify right side
    7,730.48x = 58,580,014.77
  5. Step 5: Solve for x
    x = 58,580,014.77/7,730.48
  6. Step 6: Final answer
    x = 7,577.80

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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.