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Finding the Fourth Proportional to 10,429.92, 14,392.98 and 5,953.55

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Solution

The fourth proportional to 10,429.92, 14,392.98 and 5,953.55 is: 8,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.92 : 14,392.98 = 5,953.55 : x
  2. Step 2: Convert to fraction form
    10,429.92/14,392.98 = 5,953.55/x
  3. Step 3: Cross multiply
    10,429.92x = 14,392.98 × 5,953.55
  4. Step 4: Simplify right side
    10,429.92x = 85,689,254.11
  5. Step 5: Solve for x
    x = 85,689,254.11/10,429.92
  6. Step 6: Final answer
    x = 8,215.72

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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.