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Finding the Fourth Proportional to 7,476.34, 10,317.12 and 4,290.18

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Solution

The fourth proportional to 7,476.34, 10,317.12 and 4,290.18 is: 5,920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.34 : 10,317.12 = 4,290.18 : x
  2. Step 2: Convert to fraction form
    7,476.34/10,317.12 = 4,290.18/x
  3. Step 3: Cross multiply
    7,476.34x = 10,317.12 × 4,290.18
  4. Step 4: Simplify right side
    7,476.34x = 44,262,301.88
  5. Step 5: Solve for x
    x = 44,262,301.88/7,476.34
  6. Step 6: Final answer
    x = 5,920.32

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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.