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Finding the Fourth Proportional to 7,886.12, 10,877.64 and 4,739

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Solution

The fourth proportional to 7,886.12, 10,877.64 and 4,739 is: 6,536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.12 : 10,877.64 = 4,739 : x
  2. Step 2: Convert to fraction form
    7,886.12/10,877.64 = 4,739/x
  3. Step 3: Cross multiply
    7,886.12x = 10,877.64 × 4,739
  4. Step 4: Simplify right side
    7,886.12x = 51,549,135.96
  5. Step 5: Solve for x
    x = 51,549,135.96/7,886.12
  6. Step 6: Final answer
    x = 6,536.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.