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Finding the Fourth Proportional to 10,666.45, 15,992.81 and 4,430.76

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Solution

The fourth proportional to 10,666.45, 15,992.81 and 4,430.76 is: 6,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.45 : 15,992.81 = 4,430.76 : x
  2. Step 2: Convert to fraction form
    10,666.45/15,992.81 = 4,430.76/x
  3. Step 3: Cross multiply
    10,666.45x = 15,992.81 × 4,430.76
  4. Step 4: Simplify right side
    10,666.45x = 70,860,200.72
  5. Step 5: Solve for x
    x = 70,860,200.72/10,666.45
  6. Step 6: Final answer
    x = 6,643.28

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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.