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Finding the Fourth Proportional to 10,577.63, 15,864.40 and 4,004.33

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Solution

The fourth proportional to 10,577.63, 15,864.40 and 4,004.33 is: 6,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.63 : 15,864.40 = 4,004.33 : x
  2. Step 2: Convert to fraction form
    10,577.63/15,864.40 = 4,004.33/x
  3. Step 3: Cross multiply
    10,577.63x = 15,864.40 × 4,004.33
  4. Step 4: Simplify right side
    10,577.63x = 63,526,322.50
  5. Step 5: Solve for x
    x = 63,526,322.50/10,577.63
  6. Step 6: Final answer
    x = 6,005.72

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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.