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Finding the Fourth Proportional to 8,430.94, 12,646.36 and 2,587.38

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Solution

The fourth proportional to 8,430.94, 12,646.36 and 2,587.38 is: 3,881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.94 : 12,646.36 = 2,587.38 : x
  2. Step 2: Convert to fraction form
    8,430.94/12,646.36 = 2,587.38/x
  3. Step 3: Cross multiply
    8,430.94x = 12,646.36 × 2,587.38
  4. Step 4: Simplify right side
    8,430.94x = 32,720,938.94
  5. Step 5: Solve for x
    x = 32,720,938.94/8,430.94
  6. Step 6: Final answer
    x = 3,881.05

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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.