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Finding the Fourth Proportional to 7,718.16, 10,646.72 and 4,884.68

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Solution

The fourth proportional to 7,718.16, 10,646.72 and 4,884.68 is: 6,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.16 : 10,646.72 = 4,884.68 : x
  2. Step 2: Convert to fraction form
    7,718.16/10,646.72 = 4,884.68/x
  3. Step 3: Cross multiply
    7,718.16x = 10,646.72 × 4,884.68
  4. Step 4: Simplify right side
    7,718.16x = 52,005,820.25
  5. Step 5: Solve for x
    x = 52,005,820.25/7,718.16
  6. Step 6: Final answer
    x = 6,738.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.