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Finding the Fourth Proportional to 7,803.61, 11,675.47 and 4,473.46

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Solution

The fourth proportional to 7,803.61, 11,675.47 and 4,473.46 is: 6,693.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.61 : 11,675.47 = 4,473.46 : x
  2. Step 2: Convert to fraction form
    7,803.61/11,675.47 = 4,473.46/x
  3. Step 3: Cross multiply
    7,803.61x = 11,675.47 × 4,473.46
  4. Step 4: Simplify right side
    7,803.61x = 52,229,715.22
  5. Step 5: Solve for x
    x = 52,229,715.22/7,803.61
  6. Step 6: Final answer
    x = 6,693.02

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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.