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Finding the Fourth Proportional to 10,442.54, 14,429.79 and 7,604.98

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Solution

The fourth proportional to 10,442.54, 14,429.79 and 7,604.98 is: 10,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.54 : 14,429.79 = 7,604.98 : x
  2. Step 2: Convert to fraction form
    10,442.54/14,429.79 = 7,604.98/x
  3. Step 3: Cross multiply
    10,442.54x = 14,429.79 × 7,604.98
  4. Step 4: Simplify right side
    10,442.54x = 109,738,154.18
  5. Step 5: Solve for x
    x = 109,738,154.18/10,442.54
  6. Step 6: Final answer
    x = 10,508.76

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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.