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Finding the Fourth Proportional to 10,503.09, 14,497.92 and 7,146.05

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Solution

The fourth proportional to 10,503.09, 14,497.92 and 7,146.05 is: 9,864.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.09 : 14,497.92 = 7,146.05 : x
  2. Step 2: Convert to fraction form
    10,503.09/14,497.92 = 7,146.05/x
  3. Step 3: Cross multiply
    10,503.09x = 14,497.92 × 7,146.05
  4. Step 4: Simplify right side
    10,503.09x = 103,602,788.73
  5. Step 5: Solve for x
    x = 103,602,788.73/10,503.09
  6. Step 6: Final answer
    x = 9,864.03

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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.