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Finding the Fourth Proportional to 9,080.10, 12,529.08 and 5,101.20

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Solution

The fourth proportional to 9,080.10, 12,529.08 and 5,101.20 is: 7,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,080.10 : 12,529.08 = 5,101.20 : x
  2. Step 2: Convert to fraction form
    9,080.10/12,529.08 = 5,101.20/x
  3. Step 3: Cross multiply
    9,080.10x = 12,529.08 × 5,101.20
  4. Step 4: Simplify right side
    9,080.10x = 63,913,342.90
  5. Step 5: Solve for x
    x = 63,913,342.90/9,080.10
  6. Step 6: Final answer
    x = 7,038.84

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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.