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Finding the Fourth Proportional to 7,655.81, 11,472.75 and 4,362.10

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Solution

The fourth proportional to 7,655.81, 11,472.75 and 4,362.10 is: 6,536.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.81 : 11,472.75 = 4,362.10 : x
  2. Step 2: Convert to fraction form
    7,655.81/11,472.75 = 4,362.10/x
  3. Step 3: Cross multiply
    7,655.81x = 11,472.75 × 4,362.10
  4. Step 4: Simplify right side
    7,655.81x = 50,045,225.41
  5. Step 5: Solve for x
    x = 50,045,225.41/7,655.81
  6. Step 6: Final answer
    x = 6,536.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.