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Finding the Fourth Proportional to 10,776.24, 14,866.50 and 6,582

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Solution

The fourth proportional to 10,776.24, 14,866.50 and 6,582 is: 9,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.24 : 14,866.50 = 6,582 : x
  2. Step 2: Convert to fraction form
    10,776.24/14,866.50 = 6,582/x
  3. Step 3: Cross multiply
    10,776.24x = 14,866.50 × 6,582
  4. Step 4: Simplify right side
    10,776.24x = 97,851,303
  5. Step 5: Solve for x
    x = 97,851,303/10,776.24
  6. Step 6: Final answer
    x = 9,080.28

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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.