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Finding the Fourth Proportional to 11,497.81, 15,873.52 and 7,468.26

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Solution

The fourth proportional to 11,497.81, 15,873.52 and 7,468.26 is: 10,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.81 : 15,873.52 = 7,468.26 : x
  2. Step 2: Convert to fraction form
    11,497.81/15,873.52 = 7,468.26/x
  3. Step 3: Cross multiply
    11,497.81x = 15,873.52 × 7,468.26
  4. Step 4: Simplify right side
    11,497.81x = 118,547,621.89
  5. Step 5: Solve for x
    x = 118,547,621.89/11,497.81
  6. Step 6: Final answer
    x = 10,310.45

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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.