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Finding the Fourth Proportional to 10,661.16, 15,884.55 and 10,065

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Solution

The fourth proportional to 10,661.16, 15,884.55 and 10,065 is: 14,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.16 : 15,884.55 = 10,065 : x
  2. Step 2: Convert to fraction form
    10,661.16/15,884.55 = 10,065/x
  3. Step 3: Cross multiply
    10,661.16x = 15,884.55 × 10,065
  4. Step 4: Simplify right side
    10,661.16x = 159,877,995.75
  5. Step 5: Solve for x
    x = 159,877,995.75/10,661.16
  6. Step 6: Final answer
    x = 14,996.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.