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Finding the Fourth Proportional to 7,585.64, 11,379.14 and 2,038.86

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Solution

The fourth proportional to 7,585.64, 11,379.14 and 2,038.86 is: 3,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.64 : 11,379.14 = 2,038.86 : x
  2. Step 2: Convert to fraction form
    7,585.64/11,379.14 = 2,038.86/x
  3. Step 3: Cross multiply
    7,585.64x = 11,379.14 × 2,038.86
  4. Step 4: Simplify right side
    7,585.64x = 23,200,482.30
  5. Step 5: Solve for x
    x = 23,200,482.30/7,585.64
  6. Step 6: Final answer
    x = 3,058.47

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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.