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Finding the Fourth Proportional to 7,646.42, 11,476.11 and 3,032.66

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Solution

The fourth proportional to 7,646.42, 11,476.11 and 3,032.66 is: 4,551.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.42 : 11,476.11 = 3,032.66 : x
  2. Step 2: Convert to fraction form
    7,646.42/11,476.11 = 3,032.66/x
  3. Step 3: Cross multiply
    7,646.42x = 11,476.11 × 3,032.66
  4. Step 4: Simplify right side
    7,646.42x = 34,803,139.75
  5. Step 5: Solve for x
    x = 34,803,139.75/7,646.42
  6. Step 6: Final answer
    x = 4,551.56

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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.