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Finding the Fourth Proportional to 10,449.54, 15,666.66 and 3,875.76

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Solution

The fourth proportional to 10,449.54, 15,666.66 and 3,875.76 is: 5,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.54 : 15,666.66 = 3,875.76 : x
  2. Step 2: Convert to fraction form
    10,449.54/15,666.66 = 3,875.76/x
  3. Step 3: Cross multiply
    10,449.54x = 15,666.66 × 3,875.76
  4. Step 4: Simplify right side
    10,449.54x = 60,720,214.16
  5. Step 5: Solve for x
    x = 60,720,214.16/10,449.54
  6. Step 6: Final answer
    x = 5,810.80

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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.