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Finding the Fourth Proportional to 8,097.12, 12,139.92 and 4,802.40

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Solution

The fourth proportional to 8,097.12, 12,139.92 and 4,802.40 is: 7,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.12 : 12,139.92 = 4,802.40 : x
  2. Step 2: Convert to fraction form
    8,097.12/12,139.92 = 4,802.40/x
  3. Step 3: Cross multiply
    8,097.12x = 12,139.92 × 4,802.40
  4. Step 4: Simplify right side
    8,097.12x = 58,300,751.81
  5. Step 5: Solve for x
    x = 58,300,751.81/8,097.12
  6. Step 6: Final answer
    x = 7,200.18

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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.