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Finding the Fourth Proportional to 8,705.76, 13,058.04 and 3,507.96

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Solution

The fourth proportional to 8,705.76, 13,058.04 and 3,507.96 is: 5,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.76 : 13,058.04 = 3,507.96 : x
  2. Step 2: Convert to fraction form
    8,705.76/13,058.04 = 3,507.96/x
  3. Step 3: Cross multiply
    8,705.76x = 13,058.04 × 3,507.96
  4. Step 4: Simplify right side
    8,705.76x = 45,807,082.00
  5. Step 5: Solve for x
    x = 45,807,082.00/8,705.76
  6. Step 6: Final answer
    x = 5,261.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.