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Finding the Fourth Proportional to 10,000.40, 14,995.46 and 5,848.52

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Solution

The fourth proportional to 10,000.40, 14,995.46 and 5,848.52 is: 8,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.40 : 14,995.46 = 5,848.52 : x
  2. Step 2: Convert to fraction form
    10,000.40/14,995.46 = 5,848.52/x
  3. Step 3: Cross multiply
    10,000.40x = 14,995.46 × 5,848.52
  4. Step 4: Simplify right side
    10,000.40x = 87,701,143.50
  5. Step 5: Solve for x
    x = 87,701,143.50/10,000.40
  6. Step 6: Final answer
    x = 8,769.77

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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.