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Finding the Fourth Proportional to 11,468.27, 15,823.80 and 7,495.22

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Solution

The fourth proportional to 11,468.27, 15,823.80 and 7,495.22 is: 10,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.27 : 15,823.80 = 7,495.22 : x
  2. Step 2: Convert to fraction form
    11,468.27/15,823.80 = 7,495.22/x
  3. Step 3: Cross multiply
    11,468.27x = 15,823.80 × 7,495.22
  4. Step 4: Simplify right side
    11,468.27x = 118,602,783.12
  5. Step 5: Solve for x
    x = 118,602,783.12/11,468.27
  6. Step 6: Final answer
    x = 10,341.82

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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.