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Finding the Fourth Proportional to 10,501.76, 14,492.43 and 5,786

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Solution

The fourth proportional to 10,501.76, 14,492.43 and 5,786 is: 7,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.76 : 14,492.43 = 5,786 : x
  2. Step 2: Convert to fraction form
    10,501.76/14,492.43 = 5,786/x
  3. Step 3: Cross multiply
    10,501.76x = 14,492.43 × 5,786
  4. Step 4: Simplify right side
    10,501.76x = 83,853,199.98
  5. Step 5: Solve for x
    x = 83,853,199.98/10,501.76
  6. Step 6: Final answer
    x = 7,984.68

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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.