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Finding the Fourth Proportional to 10,448.14, 15,677.88 and 6,929.50

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Solution

The fourth proportional to 10,448.14, 15,677.88 and 6,929.50 is: 10,398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.14 : 15,677.88 = 6,929.50 : x
  2. Step 2: Convert to fraction form
    10,448.14/15,677.88 = 6,929.50/x
  3. Step 3: Cross multiply
    10,448.14x = 15,677.88 × 6,929.50
  4. Step 4: Simplify right side
    10,448.14x = 108,639,869.46
  5. Step 5: Solve for x
    x = 108,639,869.46/10,448.14
  6. Step 6: Final answer
    x = 10,398.01

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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.