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Finding the Fourth Proportional to 10,493.32, 14,480.86 and 5,777.76

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Solution

The fourth proportional to 10,493.32, 14,480.86 and 5,777.76 is: 7,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.32 : 14,480.86 = 5,777.76 : x
  2. Step 2: Convert to fraction form
    10,493.32/14,480.86 = 5,777.76/x
  3. Step 3: Cross multiply
    10,493.32x = 14,480.86 × 5,777.76
  4. Step 4: Simplify right side
    10,493.32x = 83,666,933.67
  5. Step 5: Solve for x
    x = 83,666,933.67/10,493.32
  6. Step 6: Final answer
    x = 7,973.35

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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.