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Finding the Fourth Proportional to 7,845.18, 10,817.64 and 7,663.74

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Solution

The fourth proportional to 7,845.18, 10,817.64 and 7,663.74 is: 10,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.18 : 10,817.64 = 7,663.74 : x
  2. Step 2: Convert to fraction form
    7,845.18/10,817.64 = 7,663.74/x
  3. Step 3: Cross multiply
    7,845.18x = 10,817.64 × 7,663.74
  4. Step 4: Simplify right side
    7,845.18x = 82,903,580.37
  5. Step 5: Solve for x
    x = 82,903,580.37/7,845.18
  6. Step 6: Final answer
    x = 10,567.45

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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.