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Finding the Fourth Proportional to 8,711.40, 13,068.58 and 3,165.06

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Solution

The fourth proportional to 8,711.40, 13,068.58 and 3,165.06 is: 4,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.40 : 13,068.58 = 3,165.06 : x
  2. Step 2: Convert to fraction form
    8,711.40/13,068.58 = 3,165.06/x
  3. Step 3: Cross multiply
    8,711.40x = 13,068.58 × 3,165.06
  4. Step 4: Simplify right side
    8,711.40x = 41,362,839.81
  5. Step 5: Solve for x
    x = 41,362,839.81/8,711.40
  6. Step 6: Final answer
    x = 4,748.13

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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.