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Finding the Fourth Proportional to 7,987.64, 11,022.93 and 4,402.47

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Solution

The fourth proportional to 7,987.64, 11,022.93 and 4,402.47 is: 6,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.64 : 11,022.93 = 4,402.47 : x
  2. Step 2: Convert to fraction form
    7,987.64/11,022.93 = 4,402.47/x
  3. Step 3: Cross multiply
    7,987.64x = 11,022.93 × 4,402.47
  4. Step 4: Simplify right side
    7,987.64x = 48,528,118.64
  5. Step 5: Solve for x
    x = 48,528,118.64/7,987.64
  6. Step 6: Final answer
    x = 6,075.41

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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.