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Finding the Fourth Proportional to 8,646.54, 12,956.54 and 5,129.62

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Solution

The fourth proportional to 8,646.54, 12,956.54 and 5,129.62 is: 7,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.54 : 12,956.54 = 5,129.62 : x
  2. Step 2: Convert to fraction form
    8,646.54/12,956.54 = 5,129.62/x
  3. Step 3: Cross multiply
    8,646.54x = 12,956.54 × 5,129.62
  4. Step 4: Simplify right side
    8,646.54x = 66,462,126.71
  5. Step 5: Solve for x
    x = 66,462,126.71/8,646.54
  6. Step 6: Final answer
    x = 7,686.56

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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.