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Finding the Fourth Proportional to 11,426.60, 15,740.52 and 9,742.52

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Solution

The fourth proportional to 11,426.60, 15,740.52 and 9,742.52 is: 13,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.60 : 15,740.52 = 9,742.52 : x
  2. Step 2: Convert to fraction form
    11,426.60/15,740.52 = 9,742.52/x
  3. Step 3: Cross multiply
    11,426.60x = 15,740.52 × 9,742.52
  4. Step 4: Simplify right side
    11,426.60x = 153,352,330.91
  5. Step 5: Solve for x
    x = 153,352,330.91/11,426.60
  6. Step 6: Final answer
    x = 13,420.64

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