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Finding the Fourth Proportional to 10,569.15, 14,587.02 and 6,091.20

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Solution

The fourth proportional to 10,569.15, 14,587.02 and 6,091.20 is: 8,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.15 : 14,587.02 = 6,091.20 : x
  2. Step 2: Convert to fraction form
    10,569.15/14,587.02 = 6,091.20/x
  3. Step 3: Cross multiply
    10,569.15x = 14,587.02 × 6,091.20
  4. Step 4: Simplify right side
    10,569.15x = 88,852,456.22
  5. Step 5: Solve for x
    x = 88,852,456.22/10,569.15
  6. Step 6: Final answer
    x = 8,406.77

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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.