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Finding the Fourth Proportional to 10,464.99, 15,708.41 and 6,572.13

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Solution

The fourth proportional to 10,464.99, 15,708.41 and 6,572.13 is: 9,865.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.99 : 15,708.41 = 6,572.13 : x
  2. Step 2: Convert to fraction form
    10,464.99/15,708.41 = 6,572.13/x
  3. Step 3: Cross multiply
    10,464.99x = 15,708.41 × 6,572.13
  4. Step 4: Simplify right side
    10,464.99x = 103,237,712.61
  5. Step 5: Solve for x
    x = 103,237,712.61/10,464.99
  6. Step 6: Final answer
    x = 9,865.06

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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.