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Finding the Fourth Proportional to 7,140.84, 9,848.82 and 5,458.02

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Solution

The fourth proportional to 7,140.84, 9,848.82 and 5,458.02 is: 7,527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.84 : 9,848.82 = 5,458.02 : x
  2. Step 2: Convert to fraction form
    7,140.84/9,848.82 = 5,458.02/x
  3. Step 3: Cross multiply
    7,140.84x = 9,848.82 × 5,458.02
  4. Step 4: Simplify right side
    7,140.84x = 53,755,056.54
  5. Step 5: Solve for x
    x = 53,755,056.54/7,140.84
  6. Step 6: Final answer
    x = 7,527.83

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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.