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Finding the Fourth Proportional to 10,464.51, 15,695.04 and 3,444.62

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Solution

The fourth proportional to 10,464.51, 15,695.04 and 3,444.62 is: 5,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.51 : 15,695.04 = 3,444.62 : x
  2. Step 2: Convert to fraction form
    10,464.51/15,695.04 = 3,444.62/x
  3. Step 3: Cross multiply
    10,464.51x = 15,695.04 × 3,444.62
  4. Step 4: Simplify right side
    10,464.51x = 54,063,370.21
  5. Step 5: Solve for x
    x = 54,063,370.21/10,464.51
  6. Step 6: Final answer
    x = 5,166.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.