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Finding the Fourth Proportional to 7,544.34, 10,407.69 and 4,709.88

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Solution

The fourth proportional to 7,544.34, 10,407.69 and 4,709.88 is: 6,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.34 : 10,407.69 = 4,709.88 : x
  2. Step 2: Convert to fraction form
    7,544.34/10,407.69 = 4,709.88/x
  3. Step 3: Cross multiply
    7,544.34x = 10,407.69 × 4,709.88
  4. Step 4: Simplify right side
    7,544.34x = 49,018,970.98
  5. Step 5: Solve for x
    x = 49,018,970.98/7,544.34
  6. Step 6: Final answer
    x = 6,497.45

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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.