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Finding the Fourth Proportional to 11,437.04, 15,782 and 6,400.96

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Solution

The fourth proportional to 11,437.04, 15,782 and 6,400.96 is: 8,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.04 : 15,782 = 6,400.96 : x
  2. Step 2: Convert to fraction form
    11,437.04/15,782 = 6,400.96/x
  3. Step 3: Cross multiply
    11,437.04x = 15,782 × 6,400.96
  4. Step 4: Simplify right side
    11,437.04x = 101,019,950.72
  5. Step 5: Solve for x
    x = 101,019,950.72/11,437.04
  6. Step 6: Final answer
    x = 8,832.70

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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.