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Finding the Fourth Proportional to 8,412.48, 11,602.40 and 7,402.01

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Solution

The fourth proportional to 8,412.48, 11,602.40 and 7,402.01 is: 10,208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.48 : 11,602.40 = 7,402.01 : x
  2. Step 2: Convert to fraction form
    8,412.48/11,602.40 = 7,402.01/x
  3. Step 3: Cross multiply
    8,412.48x = 11,602.40 × 7,402.01
  4. Step 4: Simplify right side
    8,412.48x = 85,880,985.80
  5. Step 5: Solve for x
    x = 85,880,985.80/8,412.48
  6. Step 6: Final answer
    x = 10,208.76

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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.