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Finding the Fourth Proportional to 7,047.77, 10,573.27 and 2,117.50

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Solution

The fourth proportional to 7,047.77, 10,573.27 and 2,117.50 is: 3,176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.77 : 10,573.27 = 2,117.50 : x
  2. Step 2: Convert to fraction form
    7,047.77/10,573.27 = 2,117.50/x
  3. Step 3: Cross multiply
    7,047.77x = 10,573.27 × 2,117.50
  4. Step 4: Simplify right side
    7,047.77x = 22,388,899.23
  5. Step 5: Solve for x
    x = 22,388,899.23/7,047.77
  6. Step 6: Final answer
    x = 3,176.74

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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.