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Finding the Fourth Proportional to 7,838.01, 10,812.60 and 5,710.23

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Solution

The fourth proportional to 7,838.01, 10,812.60 and 5,710.23 is: 7,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.01 : 10,812.60 = 5,710.23 : x
  2. Step 2: Convert to fraction form
    7,838.01/10,812.60 = 5,710.23/x
  3. Step 3: Cross multiply
    7,838.01x = 10,812.60 × 5,710.23
  4. Step 4: Simplify right side
    7,838.01x = 61,742,432.90
  5. Step 5: Solve for x
    x = 61,742,432.90/7,838.01
  6. Step 6: Final answer
    x = 7,877.31

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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.