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Finding the Fourth Proportional to 7,058.42, 10,595.30 and 5,308.42

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Solution

The fourth proportional to 7,058.42, 10,595.30 and 5,308.42 is: 7,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.42 : 10,595.30 = 5,308.42 : x
  2. Step 2: Convert to fraction form
    7,058.42/10,595.30 = 5,308.42/x
  3. Step 3: Cross multiply
    7,058.42x = 10,595.30 × 5,308.42
  4. Step 4: Simplify right side
    7,058.42x = 56,244,249.40
  5. Step 5: Solve for x
    x = 56,244,249.40/7,058.42
  6. Step 6: Final answer
    x = 7,968.39

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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.