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Finding the Fourth Proportional to 11,478.48, 15,840.36 and 7,497.24

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Solution

The fourth proportional to 11,478.48, 15,840.36 and 7,497.24 is: 10,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.48 : 15,840.36 = 7,497.24 : x
  2. Step 2: Convert to fraction form
    11,478.48/15,840.36 = 7,497.24/x
  3. Step 3: Cross multiply
    11,478.48x = 15,840.36 × 7,497.24
  4. Step 4: Simplify right side
    11,478.48x = 118,758,980.61
  5. Step 5: Solve for x
    x = 118,758,980.61/11,478.48
  6. Step 6: Final answer
    x = 10,346.23

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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.