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Finding the Fourth Proportional to 8,113.60, 10,798.08 and 8,113.60

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Solution

The fourth proportional to 8,113.60, 10,798.08 and 8,113.60 is: 10,798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.60 : 10,798.08 = 8,113.60 : x
  2. Step 2: Convert to fraction form
    8,113.60/10,798.08 = 8,113.60/x
  3. Step 3: Cross multiply
    8,113.60x = 10,798.08 × 8,113.60
  4. Step 4: Simplify right side
    8,113.60x = 87,611,301.89
  5. Step 5: Solve for x
    x = 87,611,301.89/8,113.60
  6. Step 6: Final answer
    x = 10,798.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.