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Finding the Fourth Proportional to 10,594.66, 15,885.77 and 4,021.31

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Solution

The fourth proportional to 10,594.66, 15,885.77 and 4,021.31 is: 6,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.66 : 15,885.77 = 4,021.31 : x
  2. Step 2: Convert to fraction form
    10,594.66/15,885.77 = 4,021.31/x
  3. Step 3: Cross multiply
    10,594.66x = 15,885.77 × 4,021.31
  4. Step 4: Simplify right side
    10,594.66x = 63,881,605.76
  5. Step 5: Solve for x
    x = 63,881,605.76/10,594.66
  6. Step 6: Final answer
    x = 6,029.60

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