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Finding the Fourth Proportional to 10,001.80, 14,988.61 and 7,652.71

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Solution

The fourth proportional to 10,001.80, 14,988.61 and 7,652.71 is: 11,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.80 : 14,988.61 = 7,652.71 : x
  2. Step 2: Convert to fraction form
    10,001.80/14,988.61 = 7,652.71/x
  3. Step 3: Cross multiply
    10,001.80x = 14,988.61 × 7,652.71
  4. Step 4: Simplify right side
    10,001.80x = 114,703,485.63
  5. Step 5: Solve for x
    x = 114,703,485.63/10,001.80
  6. Step 6: Final answer
    x = 11,468.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.