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Finding the Fourth Proportional to 6,701.64, 10,058.63 and 3,417.18

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Solution

The fourth proportional to 6,701.64, 10,058.63 and 3,417.18 is: 5,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.64 : 10,058.63 = 3,417.18 : x
  2. Step 2: Convert to fraction form
    6,701.64/10,058.63 = 3,417.18/x
  3. Step 3: Cross multiply
    6,701.64x = 10,058.63 × 3,417.18
  4. Step 4: Simplify right side
    6,701.64x = 34,372,132.18
  5. Step 5: Solve for x
    x = 34,372,132.18/6,701.64
  6. Step 6: Final answer
    x = 5,128.91

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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.