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Finding the Fourth Proportional to 10,325.60, 15,490.08 and 6,434.24

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Solution

The fourth proportional to 10,325.60, 15,490.08 and 6,434.24 is: 9,652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.60 : 15,490.08 = 6,434.24 : x
  2. Step 2: Convert to fraction form
    10,325.60/15,490.08 = 6,434.24/x
  3. Step 3: Cross multiply
    10,325.60x = 15,490.08 × 6,434.24
  4. Step 4: Simplify right side
    10,325.60x = 99,666,892.34
  5. Step 5: Solve for x
    x = 99,666,892.34/10,325.60
  6. Step 6: Final answer
    x = 9,652.41

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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.