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Finding the Fourth Proportional to 7,700.32, 10,628.04 and 5,042.80

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Solution

The fourth proportional to 7,700.32, 10,628.04 and 5,042.80 is: 6,960.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.32 : 10,628.04 = 5,042.80 : x
  2. Step 2: Convert to fraction form
    7,700.32/10,628.04 = 5,042.80/x
  3. Step 3: Cross multiply
    7,700.32x = 10,628.04 × 5,042.80
  4. Step 4: Simplify right side
    7,700.32x = 53,595,080.11
  5. Step 5: Solve for x
    x = 53,595,080.11/7,700.32
  6. Step 6: Final answer
    x = 6,960.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.