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Finding the Fourth Proportional to 8,921.86, 12,312.16 and 5,385.08

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Solution

The fourth proportional to 8,921.86, 12,312.16 and 5,385.08 is: 7,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.86 : 12,312.16 = 5,385.08 : x
  2. Step 2: Convert to fraction form
    8,921.86/12,312.16 = 5,385.08/x
  3. Step 3: Cross multiply
    8,921.86x = 12,312.16 × 5,385.08
  4. Step 4: Simplify right side
    8,921.86x = 66,301,966.57
  5. Step 5: Solve for x
    x = 66,301,966.57/8,921.86
  6. Step 6: Final answer
    x = 7,431.41

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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.