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Finding the Fourth Proportional to 7,272.96, 10,044.86 and 4,911

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Solution

The fourth proportional to 7,272.96, 10,044.86 and 4,911 is: 6,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272.96 : 10,044.86 = 4,911 : x
  2. Step 2: Convert to fraction form
    7,272.96/10,044.86 = 4,911/x
  3. Step 3: Cross multiply
    7,272.96x = 10,044.86 × 4,911
  4. Step 4: Simplify right side
    7,272.96x = 49,330,307.46
  5. Step 5: Solve for x
    x = 49,330,307.46/7,272.96
  6. Step 6: Final answer
    x = 6,782.70

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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.