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Finding the Fourth Proportional to 10,501.86, 14,492.90 and 6,026.43

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Solution

The fourth proportional to 10,501.86, 14,492.90 and 6,026.43 is: 8,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.86 : 14,492.90 = 6,026.43 : x
  2. Step 2: Convert to fraction form
    10,501.86/14,492.90 = 6,026.43/x
  3. Step 3: Cross multiply
    10,501.86x = 14,492.90 × 6,026.43
  4. Step 4: Simplify right side
    10,501.86x = 87,340,417.21
  5. Step 5: Solve for x
    x = 87,340,417.21/10,501.86
  6. Step 6: Final answer
    x = 8,316.66

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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.