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Finding the Fourth Proportional to 10,357.97, 15,530.72 and 4,657.89

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Solution

The fourth proportional to 10,357.97, 15,530.72 and 4,657.89 is: 6,984.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.97 : 15,530.72 = 4,657.89 : x
  2. Step 2: Convert to fraction form
    10,357.97/15,530.72 = 4,657.89/x
  3. Step 3: Cross multiply
    10,357.97x = 15,530.72 × 4,657.89
  4. Step 4: Simplify right side
    10,357.97x = 72,340,385.38
  5. Step 5: Solve for x
    x = 72,340,385.38/10,357.97
  6. Step 6: Final answer
    x = 6,984.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.