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Finding the Fourth Proportional to 10,604.61, 14,639.85 and 7,474.77

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Solution

The fourth proportional to 10,604.61, 14,639.85 and 7,474.77 is: 10,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.61 : 14,639.85 = 7,474.77 : x
  2. Step 2: Convert to fraction form
    10,604.61/14,639.85 = 7,474.77/x
  3. Step 3: Cross multiply
    10,604.61x = 14,639.85 × 7,474.77
  4. Step 4: Simplify right side
    10,604.61x = 109,429,511.58
  5. Step 5: Solve for x
    x = 109,429,511.58/10,604.61
  6. Step 6: Final answer
    x = 10,319.05

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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.