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Finding the Fourth Proportional to 10,377.92, 14,316.95 and 7,538.47

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Solution

The fourth proportional to 10,377.92, 14,316.95 and 7,538.47 is: 10,399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.92 : 14,316.95 = 7,538.47 : x
  2. Step 2: Convert to fraction form
    10,377.92/14,316.95 = 7,538.47/x
  3. Step 3: Cross multiply
    10,377.92x = 14,316.95 × 7,538.47
  4. Step 4: Simplify right side
    10,377.92x = 107,927,881.12
  5. Step 5: Solve for x
    x = 107,927,881.12/10,377.92
  6. Step 6: Final answer
    x = 10,399.76

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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.