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Finding the Fourth Proportional to 10,970.84, 16,453.54 and 4,308.70

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Solution

The fourth proportional to 10,970.84, 16,453.54 and 4,308.70 is: 6,461.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.84 : 16,453.54 = 4,308.70 : x
  2. Step 2: Convert to fraction form
    10,970.84/16,453.54 = 4,308.70/x
  3. Step 3: Cross multiply
    10,970.84x = 16,453.54 × 4,308.70
  4. Step 4: Simplify right side
    10,970.84x = 70,893,367.80
  5. Step 5: Solve for x
    x = 70,893,367.80/10,970.84
  6. Step 6: Final answer
    x = 6,461.98

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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.