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Finding the Fourth Proportional to 7,820.32, 11,714.16 and 4,690.40

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Solution

The fourth proportional to 7,820.32, 11,714.16 and 4,690.40 is: 7,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.32 : 11,714.16 = 4,690.40 : x
  2. Step 2: Convert to fraction form
    7,820.32/11,714.16 = 4,690.40/x
  3. Step 3: Cross multiply
    7,820.32x = 11,714.16 × 4,690.40
  4. Step 4: Simplify right side
    7,820.32x = 54,944,096.06
  5. Step 5: Solve for x
    x = 54,944,096.06/7,820.32
  6. Step 6: Final answer
    x = 7,025.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.