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Finding the Fourth Proportional to 10,001.60, 14,984.40 and 5,838.20

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Solution

The fourth proportional to 10,001.60, 14,984.40 and 5,838.20 is: 8,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.60 : 14,984.40 = 5,838.20 : x
  2. Step 2: Convert to fraction form
    10,001.60/14,984.40 = 5,838.20/x
  3. Step 3: Cross multiply
    10,001.60x = 14,984.40 × 5,838.20
  4. Step 4: Simplify right side
    10,001.60x = 87,481,924.08
  5. Step 5: Solve for x
    x = 87,481,924.08/10,001.60
  6. Step 6: Final answer
    x = 8,746.79

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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.