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Finding the Fourth Proportional to 10,860.52, 16,292.70 and 4,705

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Solution

The fourth proportional to 10,860.52, 16,292.70 and 4,705 is: 7,058.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,860.52 : 16,292.70 = 4,705 : x
  2. Step 2: Convert to fraction form
    10,860.52/16,292.70 = 4,705/x
  3. Step 3: Cross multiply
    10,860.52x = 16,292.70 × 4,705
  4. Step 4: Simplify right side
    10,860.52x = 76,657,153.50
  5. Step 5: Solve for x
    x = 76,657,153.50/10,860.52
  6. Step 6: Final answer
    x = 7,058.33

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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.