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Finding the Fourth Proportional to 8,057.02, 11,117.10 and 4,700.38

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Solution

The fourth proportional to 8,057.02, 11,117.10 and 4,700.38 is: 6,485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.02 : 11,117.10 = 4,700.38 : x
  2. Step 2: Convert to fraction form
    8,057.02/11,117.10 = 4,700.38/x
  3. Step 3: Cross multiply
    8,057.02x = 11,117.10 × 4,700.38
  4. Step 4: Simplify right side
    8,057.02x = 52,254,594.50
  5. Step 5: Solve for x
    x = 52,254,594.50/8,057.02
  6. Step 6: Final answer
    x = 6,485.60

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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.