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Finding the Fourth Proportional to 7,143.34, 10,718.64 and 4,677.70

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Solution

The fourth proportional to 7,143.34, 10,718.64 and 4,677.70 is: 7,018.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.34 : 10,718.64 = 4,677.70 : x
  2. Step 2: Convert to fraction form
    7,143.34/10,718.64 = 4,677.70/x
  3. Step 3: Cross multiply
    7,143.34x = 10,718.64 × 4,677.70
  4. Step 4: Simplify right side
    7,143.34x = 50,138,582.33
  5. Step 5: Solve for x
    x = 50,138,582.33/7,143.34
  6. Step 6: Final answer
    x = 7,018.93

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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.