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Finding the Fourth Proportional to 8,985.63, 12,400.31 and 5,157.90

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Solution

The fourth proportional to 8,985.63, 12,400.31 and 5,157.90 is: 7,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,985.63 : 12,400.31 = 5,157.90 : x
  2. Step 2: Convert to fraction form
    8,985.63/12,400.31 = 5,157.90/x
  3. Step 3: Cross multiply
    8,985.63x = 12,400.31 × 5,157.90
  4. Step 4: Simplify right side
    8,985.63x = 63,959,533.16
  5. Step 5: Solve for x
    x = 63,959,533.16/8,985.63
  6. Step 6: Final answer
    x = 7,117.98

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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.