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Finding the Fourth Proportional to 7,058.21, 9,715.88 and 6,100.68

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Solution

The fourth proportional to 7,058.21, 9,715.88 and 6,100.68 is: 8,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.21 : 9,715.88 = 6,100.68 : x
  2. Step 2: Convert to fraction form
    7,058.21/9,715.88 = 6,100.68/x
  3. Step 3: Cross multiply
    7,058.21x = 9,715.88 × 6,100.68
  4. Step 4: Simplify right side
    7,058.21x = 59,273,490.05
  5. Step 5: Solve for x
    x = 59,273,490.05/7,058.21
  6. Step 6: Final answer
    x = 8,397.80

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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.