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Finding the Fourth Proportional to 7,815.04, 11,714.32 and 4,853.46

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Solution

The fourth proportional to 7,815.04, 11,714.32 and 4,853.46 is: 7,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.04 : 11,714.32 = 4,853.46 : x
  2. Step 2: Convert to fraction form
    7,815.04/11,714.32 = 4,853.46/x
  3. Step 3: Cross multiply
    7,815.04x = 11,714.32 × 4,853.46
  4. Step 4: Simplify right side
    7,815.04x = 56,854,983.55
  5. Step 5: Solve for x
    x = 56,854,983.55/7,815.04
  6. Step 6: Final answer
    x = 7,275.07

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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.