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Finding the Fourth Proportional to 10,341.66, 14,269.24 and 6,089.77

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Solution

The fourth proportional to 10,341.66, 14,269.24 and 6,089.77 is: 8,402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341.66 : 14,269.24 = 6,089.77 : x
  2. Step 2: Convert to fraction form
    10,341.66/14,269.24 = 6,089.77/x
  3. Step 3: Cross multiply
    10,341.66x = 14,269.24 × 6,089.77
  4. Step 4: Simplify right side
    10,341.66x = 86,896,334.86
  5. Step 5: Solve for x
    x = 86,896,334.86/10,341.66
  6. Step 6: Final answer
    x = 8,402.55

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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.