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Finding the Fourth Proportional to 10,635.82, 15,925.85 and 7,498.84

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Solution

The fourth proportional to 10,635.82, 15,925.85 and 7,498.84 is: 11,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.82 : 15,925.85 = 7,498.84 : x
  2. Step 2: Convert to fraction form
    10,635.82/15,925.85 = 7,498.84/x
  3. Step 3: Cross multiply
    10,635.82x = 15,925.85 × 7,498.84
  4. Step 4: Simplify right side
    10,635.82x = 119,425,401.01
  5. Step 5: Solve for x
    x = 119,425,401.01/10,635.82
  6. Step 6: Final answer
    x = 11,228.60

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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.