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Finding the Fourth Proportional to 10,953.14, 15,109.90 and 6,474.74

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Solution

The fourth proportional to 10,953.14, 15,109.90 and 6,474.74 is: 8,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.14 : 15,109.90 = 6,474.74 : x
  2. Step 2: Convert to fraction form
    10,953.14/15,109.90 = 6,474.74/x
  3. Step 3: Cross multiply
    10,953.14x = 15,109.90 × 6,474.74
  4. Step 4: Simplify right side
    10,953.14x = 97,832,673.93
  5. Step 5: Solve for x
    x = 97,832,673.93/10,953.14
  6. Step 6: Final answer
    x = 8,931.93

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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.