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Finding the Fourth Proportional to 7,705.71, 10,615.43 and 7,330.50

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Solution

The fourth proportional to 7,705.71, 10,615.43 and 7,330.50 is: 10,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.71 : 10,615.43 = 7,330.50 : x
  2. Step 2: Convert to fraction form
    7,705.71/10,615.43 = 7,330.50/x
  3. Step 3: Cross multiply
    7,705.71x = 10,615.43 × 7,330.50
  4. Step 4: Simplify right side
    7,705.71x = 77,816,427.94
  5. Step 5: Solve for x
    x = 77,816,427.94/7,705.71
  6. Step 6: Final answer
    x = 10,098.54

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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.