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Finding the Fourth Proportional to 10,828.80, 14,950.56 and 9,708

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Solution

The fourth proportional to 10,828.80, 14,950.56 and 9,708 is: 13,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.80 : 14,950.56 = 9,708 : x
  2. Step 2: Convert to fraction form
    10,828.80/14,950.56 = 9,708/x
  3. Step 3: Cross multiply
    10,828.80x = 14,950.56 × 9,708
  4. Step 4: Simplify right side
    10,828.80x = 145,140,036.48
  5. Step 5: Solve for x
    x = 145,140,036.48/10,828.80
  6. Step 6: Final answer
    x = 13,403.15

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