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Finding the Fourth Proportional to 7,355.84, 10,148.76 and 4,211.44

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Solution

The fourth proportional to 7,355.84, 10,148.76 and 4,211.44 is: 5,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,355.84 : 10,148.76 = 4,211.44 : x
  2. Step 2: Convert to fraction form
    7,355.84/10,148.76 = 4,211.44/x
  3. Step 3: Cross multiply
    7,355.84x = 10,148.76 × 4,211.44
  4. Step 4: Simplify right side
    7,355.84x = 42,740,893.81
  5. Step 5: Solve for x
    x = 42,740,893.81/7,355.84
  6. Step 6: Final answer
    x = 5,810.47

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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.