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Finding the Fourth Proportional to 7,053.42, 9,731.48 and 4,068.86

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Solution

The fourth proportional to 7,053.42, 9,731.48 and 4,068.86 is: 5,613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.42 : 9,731.48 = 4,068.86 : x
  2. Step 2: Convert to fraction form
    7,053.42/9,731.48 = 4,068.86/x
  3. Step 3: Cross multiply
    7,053.42x = 9,731.48 × 4,068.86
  4. Step 4: Simplify right side
    7,053.42x = 39,596,029.71
  5. Step 5: Solve for x
    x = 39,596,029.71/7,053.42
  6. Step 6: Final answer
    x = 5,613.73

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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.