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Finding the Fourth Proportional to 8,484.04, 12,726.78 and 5,014

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Solution

The fourth proportional to 8,484.04, 12,726.78 and 5,014 is: 7,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.04 : 12,726.78 = 5,014 : x
  2. Step 2: Convert to fraction form
    8,484.04/12,726.78 = 5,014/x
  3. Step 3: Cross multiply
    8,484.04x = 12,726.78 × 5,014
  4. Step 4: Simplify right side
    8,484.04x = 63,812,074.92
  5. Step 5: Solve for x
    x = 63,812,074.92/8,484.04
  6. Step 6: Final answer
    x = 7,521.43

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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.