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Finding the Fourth Proportional to 10,588.47, 15,877.20 and 4,662.90

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Solution

The fourth proportional to 10,588.47, 15,877.20 and 4,662.90 is: 6,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.47 : 15,877.20 = 4,662.90 : x
  2. Step 2: Convert to fraction form
    10,588.47/15,877.20 = 4,662.90/x
  3. Step 3: Cross multiply
    10,588.47x = 15,877.20 × 4,662.90
  4. Step 4: Simplify right side
    10,588.47x = 74,033,795.88
  5. Step 5: Solve for x
    x = 74,033,795.88/10,588.47
  6. Step 6: Final answer
    x = 6,991.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.