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Finding the Fourth Proportional to 7,853.72, 10,838.76 and 4,497.59

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Solution

The fourth proportional to 7,853.72, 10,838.76 and 4,497.59 is: 6,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.72 : 10,838.76 = 4,497.59 : x
  2. Step 2: Convert to fraction form
    7,853.72/10,838.76 = 4,497.59/x
  3. Step 3: Cross multiply
    7,853.72x = 10,838.76 × 4,497.59
  4. Step 4: Simplify right side
    7,853.72x = 48,748,325.69
  5. Step 5: Solve for x
    x = 48,748,325.69/7,853.72
  6. Step 6: Final answer
    x = 6,207.03

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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.