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Finding the Fourth Proportional to 10,113.84, 13,953.06 and 6,575.76

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Solution

The fourth proportional to 10,113.84, 13,953.06 and 6,575.76 is: 9,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.84 : 13,953.06 = 6,575.76 : x
  2. Step 2: Convert to fraction form
    10,113.84/13,953.06 = 6,575.76/x
  3. Step 3: Cross multiply
    10,113.84x = 13,953.06 × 6,575.76
  4. Step 4: Simplify right side
    10,113.84x = 91,751,973.83
  5. Step 5: Solve for x
    x = 91,751,973.83/10,113.84
  6. Step 6: Final answer
    x = 9,071.92

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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.