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Finding the Fourth Proportional to 7,875.86, 11,812.16 and 3,714.08

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Solution

The fourth proportional to 7,875.86, 11,812.16 and 3,714.08 is: 5,570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.86 : 11,812.16 = 3,714.08 : x
  2. Step 2: Convert to fraction form
    7,875.86/11,812.16 = 3,714.08/x
  3. Step 3: Cross multiply
    7,875.86x = 11,812.16 × 3,714.08
  4. Step 4: Simplify right side
    7,875.86x = 43,871,257.44
  5. Step 5: Solve for x
    x = 43,871,257.44/7,875.86
  6. Step 6: Final answer
    x = 5,570.35

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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.