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Finding the Fourth Proportional to 10,775.24, 14,865.12 and 6,581

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Solution

The fourth proportional to 10,775.24, 14,865.12 and 6,581 is: 9,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.24 : 14,865.12 = 6,581 : x
  2. Step 2: Convert to fraction form
    10,775.24/14,865.12 = 6,581/x
  3. Step 3: Cross multiply
    10,775.24x = 14,865.12 × 6,581
  4. Step 4: Simplify right side
    10,775.24x = 97,827,354.72
  5. Step 5: Solve for x
    x = 97,827,354.72/10,775.24
  6. Step 6: Final answer
    x = 9,078.90

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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.