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Finding the Fourth Proportional to 11,710.34, 17,565.54 and 4,784.84

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Solution

The fourth proportional to 11,710.34, 17,565.54 and 4,784.84 is: 7,177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.34 : 17,565.54 = 4,784.84 : x
  2. Step 2: Convert to fraction form
    11,710.34/17,565.54 = 4,784.84/x
  3. Step 3: Cross multiply
    11,710.34x = 17,565.54 × 4,784.84
  4. Step 4: Simplify right side
    11,710.34x = 84,048,298.41
  5. Step 5: Solve for x
    x = 84,048,298.41/11,710.34
  6. Step 6: Final answer
    x = 7,177.27

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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.