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Finding the Fourth Proportional to 10,558.40, 15,873.60 and 8,624.64

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Solution

The fourth proportional to 10,558.40, 15,873.60 and 8,624.64 is: 12,966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.40 : 15,873.60 = 8,624.64 : x
  2. Step 2: Convert to fraction form
    10,558.40/15,873.60 = 8,624.64/x
  3. Step 3: Cross multiply
    10,558.40x = 15,873.60 × 8,624.64
  4. Step 4: Simplify right side
    10,558.40x = 136,904,085.50
  5. Step 5: Solve for x
    x = 136,904,085.50/10,558.40
  6. Step 6: Final answer
    x = 12,966.37

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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.