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Finding the Fourth Proportional to 10,710.02, 16,048.40 and 4,785.95

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Solution

The fourth proportional to 10,710.02, 16,048.40 and 4,785.95 is: 7,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.02 : 16,048.40 = 4,785.95 : x
  2. Step 2: Convert to fraction form
    10,710.02/16,048.40 = 4,785.95/x
  3. Step 3: Cross multiply
    10,710.02x = 16,048.40 × 4,785.95
  4. Step 4: Simplify right side
    10,710.02x = 76,806,856.17
  5. Step 5: Solve for x
    x = 76,806,856.17/10,710.02
  6. Step 6: Final answer
    x = 7,171.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.