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Finding the Fourth Proportional to 11,421.60, 15,804.90 and 9,740.31

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Solution

The fourth proportional to 11,421.60, 15,804.90 and 9,740.31 is: 13,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.60 : 15,804.90 = 9,740.31 : x
  2. Step 2: Convert to fraction form
    11,421.60/15,804.90 = 9,740.31/x
  3. Step 3: Cross multiply
    11,421.60x = 15,804.90 × 9,740.31
  4. Step 4: Simplify right side
    11,421.60x = 153,944,625.52
  5. Step 5: Solve for x
    x = 153,944,625.52/11,421.60
  6. Step 6: Final answer
    x = 13,478.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.