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Finding the Fourth Proportional to 10,952.78, 16,430.09 and 4,712.95

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Solution

The fourth proportional to 10,952.78, 16,430.09 and 4,712.95 is: 7,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.78 : 16,430.09 = 4,712.95 : x
  2. Step 2: Convert to fraction form
    10,952.78/16,430.09 = 4,712.95/x
  3. Step 3: Cross multiply
    10,952.78x = 16,430.09 × 4,712.95
  4. Step 4: Simplify right side
    10,952.78x = 77,434,192.67
  5. Step 5: Solve for x
    x = 77,434,192.67/10,952.78
  6. Step 6: Final answer
    x = 7,069.82

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