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Finding the Fourth Proportional to 10,133.55, 13,984.07 and 5,657.72

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Solution

The fourth proportional to 10,133.55, 13,984.07 and 5,657.72 is: 7,807.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.55 : 13,984.07 = 5,657.72 : x
  2. Step 2: Convert to fraction form
    10,133.55/13,984.07 = 5,657.72/x
  3. Step 3: Cross multiply
    10,133.55x = 13,984.07 × 5,657.72
  4. Step 4: Simplify right side
    10,133.55x = 79,118,001.62
  5. Step 5: Solve for x
    x = 79,118,001.62/10,133.55
  6. Step 6: Final answer
    x = 7,807.53

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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.