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Finding the Fourth Proportional to 7,686.32, 11,534.06 and 3,988.52

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Solution

The fourth proportional to 7,686.32, 11,534.06 and 3,988.52 is: 5,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.32 : 11,534.06 = 3,988.52 : x
  2. Step 2: Convert to fraction form
    7,686.32/11,534.06 = 3,988.52/x
  3. Step 3: Cross multiply
    7,686.32x = 11,534.06 × 3,988.52
  4. Step 4: Simplify right side
    7,686.32x = 46,003,809.05
  5. Step 5: Solve for x
    x = 46,003,809.05/7,686.32
  6. Step 6: Final answer
    x = 5,985.15

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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.