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Finding the Fourth Proportional to 10,599.20, 14,622.28 and 6,405

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Solution

The fourth proportional to 10,599.20, 14,622.28 and 6,405 is: 8,836.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.20 : 14,622.28 = 6,405 : x
  2. Step 2: Convert to fraction form
    10,599.20/14,622.28 = 6,405/x
  3. Step 3: Cross multiply
    10,599.20x = 14,622.28 × 6,405
  4. Step 4: Simplify right side
    10,599.20x = 93,655,703.40
  5. Step 5: Solve for x
    x = 93,655,703.40/10,599.20
  6. Step 6: Final answer
    x = 8,836.11

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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.