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Finding the Fourth Proportional to 6,536.79, 9,024.08 and 5,041.40

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Solution

The fourth proportional to 6,536.79, 9,024.08 and 5,041.40 is: 6,959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.79 : 9,024.08 = 5,041.40 : x
  2. Step 2: Convert to fraction form
    6,536.79/9,024.08 = 5,041.40/x
  3. Step 3: Cross multiply
    6,536.79x = 9,024.08 × 5,041.40
  4. Step 4: Simplify right side
    6,536.79x = 45,493,926.58
  5. Step 5: Solve for x
    x = 45,493,926.58/6,536.79
  6. Step 6: Final answer
    x = 6,959.67

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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.