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Finding the Fourth Proportional to 11,547.97, 17,328.63 and 6,283.52

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Solution

The fourth proportional to 11,547.97, 17,328.63 and 6,283.52 is: 9,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.97 : 17,328.63 = 6,283.52 : x
  2. Step 2: Convert to fraction form
    11,547.97/17,328.63 = 6,283.52/x
  3. Step 3: Cross multiply
    11,547.97x = 17,328.63 × 6,283.52
  4. Step 4: Simplify right side
    11,547.97x = 108,884,892.55
  5. Step 5: Solve for x
    x = 108,884,892.55/11,547.97
  6. Step 6: Final answer
    x = 9,428.92

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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.