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Finding the Fourth Proportional to 10,953.42, 16,435.65 and 4,381.50

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Solution

The fourth proportional to 10,953.42, 16,435.65 and 4,381.50 is: 6,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.42 : 16,435.65 = 4,381.50 : x
  2. Step 2: Convert to fraction form
    10,953.42/16,435.65 = 4,381.50/x
  3. Step 3: Cross multiply
    10,953.42x = 16,435.65 × 4,381.50
  4. Step 4: Simplify right side
    10,953.42x = 72,012,800.48
  5. Step 5: Solve for x
    x = 72,012,800.48/10,953.42
  6. Step 6: Final answer
    x = 6,574.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.