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Finding the Fourth Proportional to 7,598.68, 11,398.68 and 2,052.00

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Solution

The fourth proportional to 7,598.68, 11,398.68 and 2,052.00 is: 3,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.68 : 11,398.68 = 2,052.00 : x
  2. Step 2: Convert to fraction form
    7,598.68/11,398.68 = 2,052.00/x
  3. Step 3: Cross multiply
    7,598.68x = 11,398.68 × 2,052.00
  4. Step 4: Simplify right side
    7,598.68x = 23,390,134.11
  5. Step 5: Solve for x
    x = 23,390,134.11/7,598.68
  6. Step 6: Final answer
    x = 3,078.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.