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Finding the Fourth Proportional to 10,969.84, 16,452.04 and 4,307.70

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Solution

The fourth proportional to 10,969.84, 16,452.04 and 4,307.70 is: 6,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.84 : 16,452.04 = 4,307.70 : x
  2. Step 2: Convert to fraction form
    10,969.84/16,452.04 = 4,307.70/x
  3. Step 3: Cross multiply
    10,969.84x = 16,452.04 × 4,307.70
  4. Step 4: Simplify right side
    10,969.84x = 70,870,452.71
  5. Step 5: Solve for x
    x = 70,870,452.71/10,969.84
  6. Step 6: Final answer
    x = 6,460.48

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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.