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Finding the Fourth Proportional to 7,063.68, 9,748.32 and 4,080.06

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Solution

The fourth proportional to 7,063.68, 9,748.32 and 4,080.06 is: 5,630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063.68 : 9,748.32 = 4,080.06 : x
  2. Step 2: Convert to fraction form
    7,063.68/9,748.32 = 4,080.06/x
  3. Step 3: Cross multiply
    7,063.68x = 9,748.32 × 4,080.06
  4. Step 4: Simplify right side
    7,063.68x = 39,773,730.50
  5. Step 5: Solve for x
    x = 39,773,730.50/7,063.68
  6. Step 6: Final answer
    x = 5,630.74

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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.