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Finding the Fourth Proportional to 8,051.16, 12,065.59 and 5,812.14

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Solution

The fourth proportional to 8,051.16, 12,065.59 and 5,812.14 is: 8,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.16 : 12,065.59 = 5,812.14 : x
  2. Step 2: Convert to fraction form
    8,051.16/12,065.59 = 5,812.14/x
  3. Step 3: Cross multiply
    8,051.16x = 12,065.59 × 5,812.14
  4. Step 4: Simplify right side
    8,051.16x = 70,126,898.26
  5. Step 5: Solve for x
    x = 70,126,898.26/8,051.16
  6. Step 6: Final answer
    x = 8,710.16

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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.