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Finding the Fourth Proportional to 12,464.04, 17,200.34 and 6,875

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Solution

The fourth proportional to 12,464.04, 17,200.34 and 6,875 is: 9,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.04 : 17,200.34 = 6,875 : x
  2. Step 2: Convert to fraction form
    12,464.04/17,200.34 = 6,875/x
  3. Step 3: Cross multiply
    12,464.04x = 17,200.34 × 6,875
  4. Step 4: Simplify right side
    12,464.04x = 118,252,337.50
  5. Step 5: Solve for x
    x = 118,252,337.50/12,464.04
  6. Step 6: Final answer
    x = 9,487.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.