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Finding the Fourth Proportional to 7,152.68, 9,871 and 4,009.08

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Solution

The fourth proportional to 7,152.68, 9,871 and 4,009.08 is: 5,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.68 : 9,871 = 4,009.08 : x
  2. Step 2: Convert to fraction form
    7,152.68/9,871 = 4,009.08/x
  3. Step 3: Cross multiply
    7,152.68x = 9,871 × 4,009.08
  4. Step 4: Simplify right side
    7,152.68x = 39,573,628.68
  5. Step 5: Solve for x
    x = 39,573,628.68/7,152.68
  6. Step 6: Final answer
    x = 5,532.70

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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.