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Finding the Fourth Proportional to 10,445.40, 15,682.01 and 6,066

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Solution

The fourth proportional to 10,445.40, 15,682.01 and 6,066 is: 9,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.40 : 15,682.01 = 6,066 : x
  2. Step 2: Convert to fraction form
    10,445.40/15,682.01 = 6,066/x
  3. Step 3: Cross multiply
    10,445.40x = 15,682.01 × 6,066
  4. Step 4: Simplify right side
    10,445.40x = 95,127,042.33
  5. Step 5: Solve for x
    x = 95,127,042.33/10,445.40
  6. Step 6: Final answer
    x = 9,107.08

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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.