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Finding the Fourth Proportional to 8,404.68, 12,590.16 and 5,071.02

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Solution

The fourth proportional to 8,404.68, 12,590.16 and 5,071.02 is: 7,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.68 : 12,590.16 = 5,071.02 : x
  2. Step 2: Convert to fraction form
    8,404.68/12,590.16 = 5,071.02/x
  3. Step 3: Cross multiply
    8,404.68x = 12,590.16 × 5,071.02
  4. Step 4: Simplify right side
    8,404.68x = 63,844,953.16
  5. Step 5: Solve for x
    x = 63,844,953.16/8,404.68
  6. Step 6: Final answer
    x = 7,596.36

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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.