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Finding the Fourth Proportional to 10,432, 14,393.92 and 6,184.40

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Solution

The fourth proportional to 10,432, 14,393.92 and 6,184.40 is: 8,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432 : 14,393.92 = 6,184.40 : x
  2. Step 2: Convert to fraction form
    10,432/14,393.92 = 6,184.40/x
  3. Step 3: Cross multiply
    10,432x = 14,393.92 × 6,184.40
  4. Step 4: Simplify right side
    10,432x = 89,017,758.85
  5. Step 5: Solve for x
    x = 89,017,758.85/10,432
  6. Step 6: Final answer
    x = 8,533.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.