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Finding the Fourth Proportional to 7,686.52, 11,466.08 and 7,459.92

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Solution

The fourth proportional to 7,686.52, 11,466.08 and 7,459.92 is: 11,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.52 : 11,466.08 = 7,459.92 : x
  2. Step 2: Convert to fraction form
    7,686.52/11,466.08 = 7,459.92/x
  3. Step 3: Cross multiply
    7,686.52x = 11,466.08 × 7,459.92
  4. Step 4: Simplify right side
    7,686.52x = 85,536,039.51
  5. Step 5: Solve for x
    x = 85,536,039.51/7,686.52
  6. Step 6: Final answer
    x = 11,128.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.