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Finding the Fourth Proportional to 10,577.04, 15,865.74 and 4,006.32

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Solution

The fourth proportional to 10,577.04, 15,865.74 and 4,006.32 is: 6,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.04 : 15,865.74 = 4,006.32 : x
  2. Step 2: Convert to fraction form
    10,577.04/15,865.74 = 4,006.32/x
  3. Step 3: Cross multiply
    10,577.04x = 15,865.74 × 4,006.32
  4. Step 4: Simplify right side
    10,577.04x = 63,563,231.48
  5. Step 5: Solve for x
    x = 63,563,231.48/10,577.04
  6. Step 6: Final answer
    x = 6,009.55

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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.