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Finding the Fourth Proportional to 8,705.84, 13,058.72 and 3,159.17

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Solution

The fourth proportional to 8,705.84, 13,058.72 and 3,159.17 is: 4,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.84 : 13,058.72 = 3,159.17 : x
  2. Step 2: Convert to fraction form
    8,705.84/13,058.72 = 3,159.17/x
  3. Step 3: Cross multiply
    8,705.84x = 13,058.72 × 3,159.17
  4. Step 4: Simplify right side
    8,705.84x = 41,254,716.46
  5. Step 5: Solve for x
    x = 41,254,716.46/8,705.84
  6. Step 6: Final answer
    x = 4,738.74

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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.