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Finding the Fourth Proportional to 11,478.29, 15,838.74 and 6,441.47

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Solution

The fourth proportional to 11,478.29, 15,838.74 and 6,441.47 is: 8,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.29 : 15,838.74 = 6,441.47 : x
  2. Step 2: Convert to fraction form
    11,478.29/15,838.74 = 6,441.47/x
  3. Step 3: Cross multiply
    11,478.29x = 15,838.74 × 6,441.47
  4. Step 4: Simplify right side
    11,478.29x = 102,024,768.55
  5. Step 5: Solve for x
    x = 102,024,768.55/11,478.29
  6. Step 6: Final answer
    x = 8,888.50

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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.