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Finding the Fourth Proportional to 8,116.34, 11,205.27 and 5,602.10

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Solution

The fourth proportional to 8,116.34, 11,205.27 and 5,602.10 is: 7,734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.34 : 11,205.27 = 5,602.10 : x
  2. Step 2: Convert to fraction form
    8,116.34/11,205.27 = 5,602.10/x
  3. Step 3: Cross multiply
    8,116.34x = 11,205.27 × 5,602.10
  4. Step 4: Simplify right side
    8,116.34x = 62,772,987.04
  5. Step 5: Solve for x
    x = 62,772,987.04/8,116.34
  6. Step 6: Final answer
    x = 7,734.15

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Why These Related Problems?

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