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Finding the Fourth Proportional to 10,417.80, 15,626.42 and 3,398.34

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Solution

The fourth proportional to 10,417.80, 15,626.42 and 3,398.34 is: 5,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.80 : 15,626.42 = 3,398.34 : x
  2. Step 2: Convert to fraction form
    10,417.80/15,626.42 = 3,398.34/x
  3. Step 3: Cross multiply
    10,417.80x = 15,626.42 × 3,398.34
  4. Step 4: Simplify right side
    10,417.80x = 53,103,818.51
  5. Step 5: Solve for x
    x = 53,103,818.51/10,417.80
  6. Step 6: Final answer
    x = 5,097.41

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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.