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Finding the Fourth Proportional to 10,208.80, 15,329.40 and 7,746.40

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Solution

The fourth proportional to 10,208.80, 15,329.40 and 7,746.40 is: 11,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.80 : 15,329.40 = 7,746.40 : x
  2. Step 2: Convert to fraction form
    10,208.80/15,329.40 = 7,746.40/x
  3. Step 3: Cross multiply
    10,208.80x = 15,329.40 × 7,746.40
  4. Step 4: Simplify right side
    10,208.80x = 118,747,664.16
  5. Step 5: Solve for x
    x = 118,747,664.16/10,208.80
  6. Step 6: Final answer
    x = 11,631.89

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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.