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Finding the Fourth Proportional to 8,484.30, 11,686.32 and 7,065.18

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Solution

The fourth proportional to 8,484.30, 11,686.32 and 7,065.18 is: 9,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.30 : 11,686.32 = 7,065.18 : x
  2. Step 2: Convert to fraction form
    8,484.30/11,686.32 = 7,065.18/x
  3. Step 3: Cross multiply
    8,484.30x = 11,686.32 × 7,065.18
  4. Step 4: Simplify right side
    8,484.30x = 82,565,954.34
  5. Step 5: Solve for x
    x = 82,565,954.34/8,484.30
  6. Step 6: Final answer
    x = 9,731.62

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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.