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Finding the Fourth Proportional to 10,785, 14,884.74 and 7,061.16

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Solution

The fourth proportional to 10,785, 14,884.74 and 7,061.16 is: 9,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785 : 14,884.74 = 7,061.16 : x
  2. Step 2: Convert to fraction form
    10,785/14,884.74 = 7,061.16/x
  3. Step 3: Cross multiply
    10,785x = 14,884.74 × 7,061.16
  4. Step 4: Simplify right side
    10,785x = 105,103,530.70
  5. Step 5: Solve for x
    x = 105,103,530.70/10,785
  6. Step 6: Final answer
    x = 9,745.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.