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Finding the Fourth Proportional to 10,397.61, 14,352.12 and 8,277.03

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Solution

The fourth proportional to 10,397.61, 14,352.12 and 8,277.03 is: 11,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.61 : 14,352.12 = 8,277.03 : x
  2. Step 2: Convert to fraction form
    10,397.61/14,352.12 = 8,277.03/x
  3. Step 3: Cross multiply
    10,397.61x = 14,352.12 × 8,277.03
  4. Step 4: Simplify right side
    10,397.61x = 118,792,927.80
  5. Step 5: Solve for x
    x = 118,792,927.80/10,397.61
  6. Step 6: Final answer
    x = 11,425.02

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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.