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Finding the Fourth Proportional to 8,036.47, 12,051.88 and 2,412.46

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Solution

The fourth proportional to 8,036.47, 12,051.88 and 2,412.46 is: 3,617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036.47 : 12,051.88 = 2,412.46 : x
  2. Step 2: Convert to fraction form
    8,036.47/12,051.88 = 2,412.46/x
  3. Step 3: Cross multiply
    8,036.47x = 12,051.88 × 2,412.46
  4. Step 4: Simplify right side
    8,036.47x = 29,074,678.42
  5. Step 5: Solve for x
    x = 29,074,678.42/8,036.47
  6. Step 6: Final answer
    x = 3,617.84

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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.