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Finding the Fourth Proportional to 7,290.14, 10,058.82 and 4,636.58

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Solution

The fourth proportional to 7,290.14, 10,058.82 and 4,636.58 is: 6,397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.14 : 10,058.82 = 4,636.58 : x
  2. Step 2: Convert to fraction form
    7,290.14/10,058.82 = 4,636.58/x
  3. Step 3: Cross multiply
    7,290.14x = 10,058.82 × 4,636.58
  4. Step 4: Simplify right side
    7,290.14x = 46,638,523.64
  5. Step 5: Solve for x
    x = 46,638,523.64/7,290.14
  6. Step 6: Final answer
    x = 6,397.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.