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Finding the Fourth Proportional to 10,586.61, 15,885.08 and 4,348.50

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Solution

The fourth proportional to 10,586.61, 15,885.08 and 4,348.50 is: 6,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.61 : 15,885.08 = 4,348.50 : x
  2. Step 2: Convert to fraction form
    10,586.61/15,885.08 = 4,348.50/x
  3. Step 3: Cross multiply
    10,586.61x = 15,885.08 × 4,348.50
  4. Step 4: Simplify right side
    10,586.61x = 69,076,205.38
  5. Step 5: Solve for x
    x = 69,076,205.38/10,586.61
  6. Step 6: Final answer
    x = 6,524.87

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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.