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Finding the Fourth Proportional to 10,453.84, 14,426.76 and 6,262

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Solution

The fourth proportional to 10,453.84, 14,426.76 and 6,262 is: 8,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.84 : 14,426.76 = 6,262 : x
  2. Step 2: Convert to fraction form
    10,453.84/14,426.76 = 6,262/x
  3. Step 3: Cross multiply
    10,453.84x = 14,426.76 × 6,262
  4. Step 4: Simplify right side
    10,453.84x = 90,340,371.12
  5. Step 5: Solve for x
    x = 90,340,371.12/10,453.84
  6. Step 6: Final answer
    x = 8,641.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.