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Finding the Fourth Proportional to 7,154.16, 10,651.08 and 7,119.51

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Solution

The fourth proportional to 7,154.16, 10,651.08 and 7,119.51 is: 10,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.16 : 10,651.08 = 7,119.51 : x
  2. Step 2: Convert to fraction form
    7,154.16/10,651.08 = 7,119.51/x
  3. Step 3: Cross multiply
    7,154.16x = 10,651.08 × 7,119.51
  4. Step 4: Simplify right side
    7,154.16x = 75,830,470.57
  5. Step 5: Solve for x
    x = 75,830,470.57/7,154.16
  6. Step 6: Final answer
    x = 10,599.49

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Why These Related Problems?

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