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Finding the Fourth Proportional to 10,509.84, 15,753.78 and 4,267.35

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Solution

The fourth proportional to 10,509.84, 15,753.78 and 4,267.35 is: 6,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.84 : 15,753.78 = 4,267.35 : x
  2. Step 2: Convert to fraction form
    10,509.84/15,753.78 = 4,267.35/x
  3. Step 3: Cross multiply
    10,509.84x = 15,753.78 × 4,267.35
  4. Step 4: Simplify right side
    10,509.84x = 67,226,893.08
  5. Step 5: Solve for x
    x = 67,226,893.08/10,509.84
  6. Step 6: Final answer
    x = 6,396.57

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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.