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Finding the Fourth Proportional to 7,095.76, 10,640.76 and 2,477.68

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Solution

The fourth proportional to 7,095.76, 10,640.76 and 2,477.68 is: 3,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.76 : 10,640.76 = 2,477.68 : x
  2. Step 2: Convert to fraction form
    7,095.76/10,640.76 = 2,477.68/x
  3. Step 3: Cross multiply
    7,095.76x = 10,640.76 × 2,477.68
  4. Step 4: Simplify right side
    7,095.76x = 26,364,398.24
  5. Step 5: Solve for x
    x = 26,364,398.24/7,095.76
  6. Step 6: Final answer
    x = 3,715.51

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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.