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Finding the Fourth Proportional to 7,143.84, 10,666.98 and 6,145.92

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Solution

The fourth proportional to 7,143.84, 10,666.98 and 6,145.92 is: 9,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.84 : 10,666.98 = 6,145.92 : x
  2. Step 2: Convert to fraction form
    7,143.84/10,666.98 = 6,145.92/x
  3. Step 3: Cross multiply
    7,143.84x = 10,666.98 × 6,145.92
  4. Step 4: Simplify right side
    7,143.84x = 65,558,405.72
  5. Step 5: Solve for x
    x = 65,558,405.72/7,143.84
  6. Step 6: Final answer
    x = 9,176.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.