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Finding the Fourth Proportional to 8,573.04, 12,854 and 5,642.44

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Solution

The fourth proportional to 8,573.04, 12,854 and 5,642.44 is: 8,460.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.04 : 12,854 = 5,642.44 : x
  2. Step 2: Convert to fraction form
    8,573.04/12,854 = 5,642.44/x
  3. Step 3: Cross multiply
    8,573.04x = 12,854 × 5,642.44
  4. Step 4: Simplify right side
    8,573.04x = 72,527,923.76
  5. Step 5: Solve for x
    x = 72,527,923.76/8,573.04
  6. Step 6: Final answer
    x = 8,460.00

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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.