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Finding the Fourth Proportional to 7,162.60, 10,746.63 and 4,046.12

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Solution

The fourth proportional to 7,162.60, 10,746.63 and 4,046.12 is: 6,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.60 : 10,746.63 = 4,046.12 : x
  2. Step 2: Convert to fraction form
    7,162.60/10,746.63 = 4,046.12/x
  3. Step 3: Cross multiply
    7,162.60x = 10,746.63 × 4,046.12
  4. Step 4: Simplify right side
    7,162.60x = 43,482,154.58
  5. Step 5: Solve for x
    x = 43,482,154.58/7,162.60
  6. Step 6: Final answer
    x = 6,070.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.