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Finding the Fourth Proportional to 11,547.97, 17,321.95 and 7,389.93

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Solution

The fourth proportional to 11,547.97, 17,321.95 and 7,389.93 is: 11,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.97 : 17,321.95 = 7,389.93 : x
  2. Step 2: Convert to fraction form
    11,547.97/17,321.95 = 7,389.93/x
  3. Step 3: Cross multiply
    11,547.97x = 17,321.95 × 7,389.93
  4. Step 4: Simplify right side
    11,547.97x = 128,008,072.16
  5. Step 5: Solve for x
    x = 128,008,072.16/11,547.97
  6. Step 6: Final answer
    x = 11,084.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.