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Finding the Fourth Proportional to 7,570.98, 11,340.54 and 7,058.34

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Solution

The fourth proportional to 7,570.98, 11,340.54 and 7,058.34 is: 10,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.98 : 11,340.54 = 7,058.34 : x
  2. Step 2: Convert to fraction form
    7,570.98/11,340.54 = 7,058.34/x
  3. Step 3: Cross multiply
    7,570.98x = 11,340.54 × 7,058.34
  4. Step 4: Simplify right side
    7,570.98x = 80,045,387.10
  5. Step 5: Solve for x
    x = 80,045,387.10/7,570.98
  6. Step 6: Final answer
    x = 10,572.66

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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.