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Finding the Fourth Proportional to 10,001.50, 13,802.07 and 5,810.02

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Solution

The fourth proportional to 10,001.50, 13,802.07 and 5,810.02 is: 8,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.50 : 13,802.07 = 5,810.02 : x
  2. Step 2: Convert to fraction form
    10,001.50/13,802.07 = 5,810.02/x
  3. Step 3: Cross multiply
    10,001.50x = 13,802.07 × 5,810.02
  4. Step 4: Simplify right side
    10,001.50x = 80,190,302.74
  5. Step 5: Solve for x
    x = 80,190,302.74/10,001.50
  6. Step 6: Final answer
    x = 8,017.83

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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.