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Finding the Fourth Proportional to 10,973.49, 15,143.76 and 6,193.50

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Solution

The fourth proportional to 10,973.49, 15,143.76 and 6,193.50 is: 8,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.49 : 15,143.76 = 6,193.50 : x
  2. Step 2: Convert to fraction form
    10,973.49/15,143.76 = 6,193.50/x
  3. Step 3: Cross multiply
    10,973.49x = 15,143.76 × 6,193.50
  4. Step 4: Simplify right side
    10,973.49x = 93,792,877.56
  5. Step 5: Solve for x
    x = 93,792,877.56/10,973.49
  6. Step 6: Final answer
    x = 8,547.22

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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.