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Finding the Fourth Proportional to 7,445.39, 10,274.81 and 4,088.16

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Solution

The fourth proportional to 7,445.39, 10,274.81 and 4,088.16 is: 5,641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.39 : 10,274.81 = 4,088.16 : x
  2. Step 2: Convert to fraction form
    7,445.39/10,274.81 = 4,088.16/x
  3. Step 3: Cross multiply
    7,445.39x = 10,274.81 × 4,088.16
  4. Step 4: Simplify right side
    7,445.39x = 42,005,046.81
  5. Step 5: Solve for x
    x = 42,005,046.81/7,445.39
  6. Step 6: Final answer
    x = 5,641.76

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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.