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Finding the Fourth Proportional to 8,714.61, 13,077.63 and 5,202

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Solution

The fourth proportional to 8,714.61, 13,077.63 and 5,202 is: 7,806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.61 : 13,077.63 = 5,202 : x
  2. Step 2: Convert to fraction form
    8,714.61/13,077.63 = 5,202/x
  3. Step 3: Cross multiply
    8,714.61x = 13,077.63 × 5,202
  4. Step 4: Simplify right side
    8,714.61x = 68,029,831.26
  5. Step 5: Solve for x
    x = 68,029,831.26/8,714.61
  6. Step 6: Final answer
    x = 7,806.41

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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.