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Finding the Fourth Proportional to 10,707.64, 16,064.18 and 4,132.06

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Solution

The fourth proportional to 10,707.64, 16,064.18 and 4,132.06 is: 6,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.64 : 16,064.18 = 4,132.06 : x
  2. Step 2: Convert to fraction form
    10,707.64/16,064.18 = 4,132.06/x
  3. Step 3: Cross multiply
    10,707.64x = 16,064.18 × 4,132.06
  4. Step 4: Simplify right side
    10,707.64x = 66,378,155.61
  5. Step 5: Solve for x
    x = 66,378,155.61/10,707.64
  6. Step 6: Final answer
    x = 6,199.14

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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.