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Finding the Fourth Proportional to 10,969.62, 15,135.75 and 6,491.22

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Solution

The fourth proportional to 10,969.62, 15,135.75 and 6,491.22 is: 8,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.62 : 15,135.75 = 6,491.22 : x
  2. Step 2: Convert to fraction form
    10,969.62/15,135.75 = 6,491.22/x
  3. Step 3: Cross multiply
    10,969.62x = 15,135.75 × 6,491.22
  4. Step 4: Simplify right side
    10,969.62x = 98,249,483.12
  5. Step 5: Solve for x
    x = 98,249,483.12/10,969.62
  6. Step 6: Final answer
    x = 8,956.51

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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.