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Finding the Fourth Proportional to 7,769.52, 10,714.32 and 6,088.32

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Solution

The fourth proportional to 7,769.52, 10,714.32 and 6,088.32 is: 8,395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.52 : 10,714.32 = 6,088.32 : x
  2. Step 2: Convert to fraction form
    7,769.52/10,714.32 = 6,088.32/x
  3. Step 3: Cross multiply
    7,769.52x = 10,714.32 × 6,088.32
  4. Step 4: Simplify right side
    7,769.52x = 65,232,208.74
  5. Step 5: Solve for x
    x = 65,232,208.74/7,769.52
  6. Step 6: Final answer
    x = 8,395.91

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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.