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Finding the Fourth Proportional to 8,564.51, 12,849.35 and 4,065.02

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Solution

The fourth proportional to 8,564.51, 12,849.35 and 4,065.02 is: 6,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.51 : 12,849.35 = 4,065.02 : x
  2. Step 2: Convert to fraction form
    8,564.51/12,849.35 = 4,065.02/x
  3. Step 3: Cross multiply
    8,564.51x = 12,849.35 × 4,065.02
  4. Step 4: Simplify right side
    8,564.51x = 52,232,780.17
  5. Step 5: Solve for x
    x = 52,232,780.17/8,564.51
  6. Step 6: Final answer
    x = 6,098.75

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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.