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Finding the Fourth Proportional to 7,985.68, 11,021.64 and 6,094.16

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Solution

The fourth proportional to 7,985.68, 11,021.64 and 6,094.16 is: 8,411.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.68 : 11,021.64 = 6,094.16 : x
  2. Step 2: Convert to fraction form
    7,985.68/11,021.64 = 6,094.16/x
  3. Step 3: Cross multiply
    7,985.68x = 11,021.64 × 6,094.16
  4. Step 4: Simplify right side
    7,985.68x = 67,167,637.62
  5. Step 5: Solve for x
    x = 67,167,637.62/7,985.68
  6. Step 6: Final answer
    x = 8,411.01

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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.