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Finding the Fourth Proportional to 8,465.04, 12,695.50 and 3,534.72

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Solution

The fourth proportional to 8,465.04, 12,695.50 and 3,534.72 is: 5,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.04 : 12,695.50 = 3,534.72 : x
  2. Step 2: Convert to fraction form
    8,465.04/12,695.50 = 3,534.72/x
  3. Step 3: Cross multiply
    8,465.04x = 12,695.50 × 3,534.72
  4. Step 4: Simplify right side
    8,465.04x = 44,875,037.76
  5. Step 5: Solve for x
    x = 44,875,037.76/8,465.04
  6. Step 6: Final answer
    x = 5,301.22

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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.