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Finding the Fourth Proportional to 7,054.30, 10,580.10 and 2,124.10

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Solution

The fourth proportional to 7,054.30, 10,580.10 and 2,124.10 is: 3,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.30 : 10,580.10 = 2,124.10 : x
  2. Step 2: Convert to fraction form
    7,054.30/10,580.10 = 2,124.10/x
  3. Step 3: Cross multiply
    7,054.30x = 10,580.10 × 2,124.10
  4. Step 4: Simplify right side
    7,054.30x = 22,473,190.41
  5. Step 5: Solve for x
    x = 22,473,190.41/7,054.30
  6. Step 6: Final answer
    x = 3,185.74

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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.