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Finding the Fourth Proportional to 8,705.29, 13,075.62 and 7,688.34

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Solution

The fourth proportional to 8,705.29, 13,075.62 and 7,688.34 is: 11,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.29 : 13,075.62 = 7,688.34 : x
  2. Step 2: Convert to fraction form
    8,705.29/13,075.62 = 7,688.34/x
  3. Step 3: Cross multiply
    8,705.29x = 13,075.62 × 7,688.34
  4. Step 4: Simplify right side
    8,705.29x = 100,529,812.27
  5. Step 5: Solve for x
    x = 100,529,812.27/8,705.29
  6. Step 6: Final answer
    x = 11,548.13

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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.