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Finding the Fourth Proportional to 10,447.93, 15,672.00 and 2,656.74

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Solution

The fourth proportional to 10,447.93, 15,672.00 and 2,656.74 is: 3,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.93 : 15,672.00 = 2,656.74 : x
  2. Step 2: Convert to fraction form
    10,447.93/15,672.00 = 2,656.74/x
  3. Step 3: Cross multiply
    10,447.93x = 15,672.00 × 2,656.74
  4. Step 4: Simplify right side
    10,447.93x = 41,636,416.00
  5. Step 5: Solve for x
    x = 41,636,416.00/10,447.93
  6. Step 6: Final answer
    x = 3,985.14

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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.