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Finding the Fourth Proportional to 8,532.84, 12,778.62 and 7,061.16

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Solution

The fourth proportional to 8,532.84, 12,778.62 and 7,061.16 is: 10,574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.84 : 12,778.62 = 7,061.16 : x
  2. Step 2: Convert to fraction form
    8,532.84/12,778.62 = 7,061.16/x
  3. Step 3: Cross multiply
    8,532.84x = 12,778.62 × 7,061.16
  4. Step 4: Simplify right side
    8,532.84x = 90,231,880.40
  5. Step 5: Solve for x
    x = 90,231,880.40/8,532.84
  6. Step 6: Final answer
    x = 10,574.66

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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.