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Finding the Fourth Proportional to 7,159.80, 10,742.40 and 3,465.30

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Solution

The fourth proportional to 7,159.80, 10,742.40 and 3,465.30 is: 5,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.80 : 10,742.40 = 3,465.30 : x
  2. Step 2: Convert to fraction form
    7,159.80/10,742.40 = 3,465.30/x
  3. Step 3: Cross multiply
    7,159.80x = 10,742.40 × 3,465.30
  4. Step 4: Simplify right side
    7,159.80x = 37,225,638.72
  5. Step 5: Solve for x
    x = 37,225,638.72/7,159.80
  6. Step 6: Final answer
    x = 5,199.26

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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.