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Finding the Fourth Proportional to 10,373.08, 15,538.90 and 7,078

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Solution

The fourth proportional to 10,373.08, 15,538.90 and 7,078 is: 10,602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373.08 : 15,538.90 = 7,078 : x
  2. Step 2: Convert to fraction form
    10,373.08/15,538.90 = 7,078/x
  3. Step 3: Cross multiply
    10,373.08x = 15,538.90 × 7,078
  4. Step 4: Simplify right side
    10,373.08x = 109,984,334.20
  5. Step 5: Solve for x
    x = 109,984,334.20/10,373.08
  6. Step 6: Final answer
    x = 10,602.86

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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.