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Finding the Fourth Proportional to 11,437.58, 15,783.90 and 6,402.12

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Solution

The fourth proportional to 11,437.58, 15,783.90 and 6,402.12 is: 8,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.58 : 15,783.90 = 6,402.12 : x
  2. Step 2: Convert to fraction form
    11,437.58/15,783.90 = 6,402.12/x
  3. Step 3: Cross multiply
    11,437.58x = 15,783.90 × 6,402.12
  4. Step 4: Simplify right side
    11,437.58x = 101,050,421.87
  5. Step 5: Solve for x
    x = 101,050,421.87/11,437.58
  6. Step 6: Final answer
    x = 8,834.95

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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.